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Finding the Third Proportional to 564,932 and 791,750

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Solution

The third proportional to 564,932 and 791,750 is: 1,109,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,932 : 791,750 = 791,750 : x
  2. Step 2: Convert to fraction form
    564,932/791,750 = 791,750/x
  3. Step 3: Cross multiply
    564,932x = 791,750 × 791,750
  4. Step 4: Simplify right side
    564,932x = 626,868,062,500
  5. Step 5: Solve for x
    x = 626,868,062,500/564,932
  6. Step 6: Final answer
    x = 1,109,634.54

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Why These Related Problems?

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