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Finding the Third Proportional to 506,627 and 790,613

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Solution

The third proportional to 506,627 and 790,613 is: 1,233,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,627 : 790,613 = 790,613 : x
  2. Step 2: Convert to fraction form
    506,627/790,613 = 790,613/x
  3. Step 3: Cross multiply
    506,627x = 790,613 × 790,613
  4. Step 4: Simplify right side
    506,627x = 625,068,915,769
  5. Step 5: Solve for x
    x = 625,068,915,769/506,627
  6. Step 6: Final answer
    x = 1,233,785.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.