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Finding the Third Proportional to 227,641.13 and 491,755.13

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Solution

The third proportional to 227,641.13 and 491,755.13 is: 1,062,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,641.13 : 491,755.13 = 491,755.13 : x
  2. Step 2: Convert to fraction form
    227,641.13/491,755.13 = 491,755.13/x
  3. Step 3: Cross multiply
    227,641.13x = 491,755.13 × 491,755.13
  4. Step 4: Simplify right side
    227,641.13x = 241,823,102,963.77
  5. Step 5: Solve for x
    x = 241,823,102,963.77/227,641.13
  6. Step 6: Final answer
    x = 1,062,299.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.