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Finding the Third Proportional to 359,992,540,269 and 520,127,054,259

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Solution

The third proportional to 359,992,540,269 and 520,127,054,259 is: 751,493,773,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,992,540,269 : 520,127,054,259 = 520,127,054,259 : x
  2. Step 2: Convert to fraction form
    359,992,540,269/520,127,054,259 = 520,127,054,259/x
  3. Step 3: Cross multiply
    359,992,540,269x = 520,127,054,259 × 520,127,054,259
  4. Step 4: Simplify right side
    359,992,540,269x = 270,532,152,572,144,733,126,656
  5. Step 5: Solve for x
    x = 270,532,152,572,144,733,126,656/359,992,540,269
  6. Step 6: Final answer
    x = 751,493,773,648.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.