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Finding the Third Proportional to 502.13 and 941.81

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Solution

The third proportional to 502.13 and 941.81 is: 1,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 941.81 = 941.81 : x
  2. Step 2: Convert to fraction form
    502.13/941.81 = 941.81/x
  3. Step 3: Cross multiply
    502.13x = 941.81 × 941.81
  4. Step 4: Simplify right side
    502.13x = 887,010.79
  5. Step 5: Solve for x
    x = 887,010.79/502.13
  6. Step 6: Final answer
    x = 1,766.51

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.