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Finding the Third Proportional to 537.38 and 729

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Solution

The third proportional to 537.38 and 729 is: 988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.38 : 729 = 729 : x
  2. Step 2: Convert to fraction form
    537.38/729 = 729/x
  3. Step 3: Cross multiply
    537.38x = 729 × 729
  4. Step 4: Simplify right side
    537.38x = 531,441
  5. Step 5: Solve for x
    x = 531,441/537.38
  6. Step 6: Final answer
    x = 988.96

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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.