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Finding the Third Proportional to 535,698 and 727,545

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Solution

The third proportional to 535,698 and 727,545 is: 988,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,698 : 727,545 = 727,545 : x
  2. Step 2: Convert to fraction form
    535,698/727,545 = 727,545/x
  3. Step 3: Cross multiply
    535,698x = 727,545 × 727,545
  4. Step 4: Simplify right side
    535,698x = 529,321,727,025
  5. Step 5: Solve for x
    x = 529,321,727,025/535,698
  6. Step 6: Final answer
    x = 988,097.26

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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.