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Finding the Third Proportional to 252,679.66 and 547,373.64

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Solution

The third proportional to 252,679.66 and 547,373.64 is: 1,185,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,679.66 : 547,373.64 = 547,373.64 : x
  2. Step 2: Convert to fraction form
    252,679.66/547,373.64 = 547,373.64/x
  3. Step 3: Cross multiply
    252,679.66x = 547,373.64 × 547,373.64
  4. Step 4: Simplify right side
    252,679.66x = 299,617,898,174.71
  5. Step 5: Solve for x
    x = 299,617,898,174.71/252,679.66
  6. Step 6: Final answer
    x = 1,185,761.85

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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.