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Finding the Third Proportional to 252,671.91 and 547,837.17

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Solution

The third proportional to 252,671.91 and 547,837.17 is: 1,187,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,671.91 : 547,837.17 = 547,837.17 : x
  2. Step 2: Convert to fraction form
    252,671.91/547,837.17 = 547,837.17/x
  3. Step 3: Cross multiply
    252,671.91x = 547,837.17 × 547,837.17
  4. Step 4: Simplify right side
    252,671.91x = 300,125,566,888.00
  5. Step 5: Solve for x
    x = 300,125,566,888.00/252,671.91
  6. Step 6: Final answer
    x = 1,187,807.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.