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Finding the Third Proportional to 497,688 and 755,748

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Solution

The third proportional to 497,688 and 755,748 is: 1,147,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,688 : 755,748 = 755,748 : x
  2. Step 2: Convert to fraction form
    497,688/755,748 = 755,748/x
  3. Step 3: Cross multiply
    497,688x = 755,748 × 755,748
  4. Step 4: Simplify right side
    497,688x = 571,155,039,504
  5. Step 5: Solve for x
    x = 571,155,039,504/497,688
  6. Step 6: Final answer
    x = 1,147,616.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.