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Finding the Third Proportional to 270,054 and 590,934

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Solution

The third proportional to 270,054 and 590,934 is: 1,293,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,054 : 590,934 = 590,934 : x
  2. Step 2: Convert to fraction form
    270,054/590,934 = 590,934/x
  3. Step 3: Cross multiply
    270,054x = 590,934 × 590,934
  4. Step 4: Simplify right side
    270,054x = 349,202,992,356
  5. Step 5: Solve for x
    x = 349,202,992,356/270,054
  6. Step 6: Final answer
    x = 1,293,085.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.