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Finding the Third Proportional to 535,822 and 729,699

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Solution

The third proportional to 535,822 and 729,699 is: 993,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,822 : 729,699 = 729,699 : x
  2. Step 2: Convert to fraction form
    535,822/729,699 = 729,699/x
  3. Step 3: Cross multiply
    535,822x = 729,699 × 729,699
  4. Step 4: Simplify right side
    535,822x = 532,460,630,601
  5. Step 5: Solve for x
    x = 532,460,630,601/535,822
  6. Step 6: Final answer
    x = 993,726.71

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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.