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Finding the Third Proportional to 564,069 and 873,828

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Solution

The third proportional to 564,069 and 873,828 is: 1,353,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,069 : 873,828 = 873,828 : x
  2. Step 2: Convert to fraction form
    564,069/873,828 = 873,828/x
  3. Step 3: Cross multiply
    564,069x = 873,828 × 873,828
  4. Step 4: Simplify right side
    564,069x = 763,575,373,584
  5. Step 5: Solve for x
    x = 763,575,373,584/564,069
  6. Step 6: Final answer
    x = 1,353,691.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.