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Finding the Third Proportional to 252,957.94 and 538,687.97

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Solution

The third proportional to 252,957.94 and 538,687.97 is: 1,147,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,957.94 : 538,687.97 = 538,687.97 : x
  2. Step 2: Convert to fraction form
    252,957.94/538,687.97 = 538,687.97/x
  3. Step 3: Cross multiply
    252,957.94x = 538,687.97 × 538,687.97
  4. Step 4: Simplify right side
    252,957.94x = 290,184,727,676.00
  5. Step 5: Solve for x
    x = 290,184,727,676.00/252,957.94
  6. Step 6: Final answer
    x = 1,147,165.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.