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Finding the Third Proportional to 535,817 and 729,691

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Solution

The third proportional to 535,817 and 729,691 is: 993,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,817 : 729,691 = 729,691 : x
  2. Step 2: Convert to fraction form
    535,817/729,691 = 729,691/x
  3. Step 3: Cross multiply
    535,817x = 729,691 × 729,691
  4. Step 4: Simplify right side
    535,817x = 532,448,955,481
  5. Step 5: Solve for x
    x = 532,448,955,481/535,817
  6. Step 6: Final answer
    x = 993,714.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.