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Finding the Third Proportional to 502.13 and 731.81

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Solution

The third proportional to 502.13 and 731.81 is: 1,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 731.81 = 731.81 : x
  2. Step 2: Convert to fraction form
    502.13/731.81 = 731.81/x
  3. Step 3: Cross multiply
    502.13x = 731.81 × 731.81
  4. Step 4: Simplify right side
    502.13x = 535,549.54
  5. Step 5: Solve for x
    x = 535,549.54/502.13
  6. Step 6: Final answer
    x = 1,066.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.