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Finding the Third Proportional to 359,944 and 775,184

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Solution

The third proportional to 359,944 and 775,184 is: 1,669,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,944 : 775,184 = 775,184 : x
  2. Step 2: Convert to fraction form
    359,944/775,184 = 775,184/x
  3. Step 3: Cross multiply
    359,944x = 775,184 × 775,184
  4. Step 4: Simplify right side
    359,944x = 600,910,233,856
  5. Step 5: Solve for x
    x = 600,910,233,856/359,944
  6. Step 6: Final answer
    x = 1,669,454.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.