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Finding the Third Proportional to 497,694 and 755,757

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Solution

The third proportional to 497,694 and 755,757 is: 1,147,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,694 : 755,757 = 755,757 : x
  2. Step 2: Convert to fraction form
    497,694/755,757 = 755,757/x
  3. Step 3: Cross multiply
    497,694x = 755,757 × 755,757
  4. Step 4: Simplify right side
    497,694x = 571,168,643,049
  5. Step 5: Solve for x
    x = 571,168,643,049/497,694
  6. Step 6: Final answer
    x = 1,147,630.16

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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.