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Finding the Third Proportional to 497,763 and 765,531

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Solution

The third proportional to 497,763 and 765,531 is: 1,177,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,763 : 765,531 = 765,531 : x
  2. Step 2: Convert to fraction form
    497,763/765,531 = 765,531/x
  3. Step 3: Cross multiply
    497,763x = 765,531 × 765,531
  4. Step 4: Simplify right side
    497,763x = 586,037,711,961
  5. Step 5: Solve for x
    x = 586,037,711,961/497,763
  6. Step 6: Final answer
    x = 1,177,342.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.