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Finding the Third Proportional to 500.81 and 747.06

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Solution

The third proportional to 500.81 and 747.06 is: 1,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.81 : 747.06 = 747.06 : x
  2. Step 2: Convert to fraction form
    500.81/747.06 = 747.06/x
  3. Step 3: Cross multiply
    500.81x = 747.06 × 747.06
  4. Step 4: Simplify right side
    500.81x = 558,102.38
  5. Step 5: Solve for x
    x = 558,102.38/500.81
  6. Step 6: Final answer
    x = 1,114.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.