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Finding the Third Proportional to 497,613 and 750,540

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Solution

The third proportional to 497,613 and 750,540 is: 1,132,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,613 : 750,540 = 750,540 : x
  2. Step 2: Convert to fraction form
    497,613/750,540 = 750,540/x
  3. Step 3: Cross multiply
    497,613x = 750,540 × 750,540
  4. Step 4: Simplify right side
    497,613x = 563,310,291,600
  5. Step 5: Solve for x
    x = 563,310,291,600/497,613
  6. Step 6: Final answer
    x = 1,132,024.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.