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Finding the Third Proportional to 564,928 and 791,744

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Solution

The third proportional to 564,928 and 791,744 is: 1,109,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,928 : 791,744 = 791,744 : x
  2. Step 2: Convert to fraction form
    564,928/791,744 = 791,744/x
  3. Step 3: Cross multiply
    564,928x = 791,744 × 791,744
  4. Step 4: Simplify right side
    564,928x = 626,858,561,536
  5. Step 5: Solve for x
    x = 626,858,561,536/564,928
  6. Step 6: Final answer
    x = 1,109,625.58

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.