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Finding the Third Proportional to 564,934 and 791,753

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Solution

The third proportional to 564,934 and 791,753 is: 1,109,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,934 : 791,753 = 791,753 : x
  2. Step 2: Convert to fraction form
    564,934/791,753 = 791,753/x
  3. Step 3: Cross multiply
    564,934x = 791,753 × 791,753
  4. Step 4: Simplify right side
    564,934x = 626,872,813,009
  5. Step 5: Solve for x
    x = 626,872,813,009/564,934
  6. Step 6: Final answer
    x = 1,109,639.03

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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.