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Finding the Third Proportional to 502.38 and 1,104.13

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Solution

The third proportional to 502.38 and 1,104.13 is: 2,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.38 : 1,104.13 = 1,104.13 : x
  2. Step 2: Convert to fraction form
    502.38/1,104.13 = 1,104.13/x
  3. Step 3: Cross multiply
    502.38x = 1,104.13 × 1,104.13
  4. Step 4: Simplify right side
    502.38x = 1,219,092.02
  5. Step 5: Solve for x
    x = 1,219,092.02/502.38
  6. Step 6: Final answer
    x = 2,426.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.