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Finding the Third Proportional to 499.29 and 748.93

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Solution

The third proportional to 499.29 and 748.93 is: 1,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.29 : 748.93 = 748.93 : x
  2. Step 2: Convert to fraction form
    499.29/748.93 = 748.93/x
  3. Step 3: Cross multiply
    499.29x = 748.93 × 748.93
  4. Step 4: Simplify right side
    499.29x = 560,901.53
  5. Step 5: Solve for x
    x = 560,901.53/499.29
  6. Step 6: Final answer
    x = 1,123.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.