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Finding the Third Proportional to 417,710.25 and 857,553.75

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Solution

The third proportional to 417,710.25 and 857,553.75 is: 1,760,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,710.25 : 857,553.75 = 857,553.75 : x
  2. Step 2: Convert to fraction form
    417,710.25/857,553.75 = 857,553.75/x
  3. Step 3: Cross multiply
    417,710.25x = 857,553.75 × 857,553.75
  4. Step 4: Simplify right side
    417,710.25x = 735,398,434,139.06
  5. Step 5: Solve for x
    x = 735,398,434,139.06/417,710.25
  6. Step 6: Final answer
    x = 1,760,546.78

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.