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Finding the Third Proportional to 564,024 and 873,759

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Solution

The third proportional to 564,024 and 873,759 is: 1,353,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,024 : 873,759 = 873,759 : x
  2. Step 2: Convert to fraction form
    564,024/873,759 = 873,759/x
  3. Step 3: Cross multiply
    564,024x = 873,759 × 873,759
  4. Step 4: Simplify right side
    564,024x = 763,454,790,081
  5. Step 5: Solve for x
    x = 763,454,790,081/564,024
  6. Step 6: Final answer
    x = 1,353,585.65

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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.