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Finding the Third Proportional to 237,840.68 and 500,581.27

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Solution

The third proportional to 237,840.68 and 500,581.27 is: 1,053,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,840.68 : 500,581.27 = 500,581.27 : x
  2. Step 2: Convert to fraction form
    237,840.68/500,581.27 = 500,581.27/x
  3. Step 3: Cross multiply
    237,840.68x = 500,581.27 × 500,581.27
  4. Step 4: Simplify right side
    237,840.68x = 250,581,603,494.73
  5. Step 5: Solve for x
    x = 250,581,603,494.73/237,840.68
  6. Step 6: Final answer
    x = 1,053,569.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.