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Finding the Third Proportional to 564,408 and 864,594

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Solution

The third proportional to 564,408 and 864,594 is: 1,324,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,408 : 864,594 = 864,594 : x
  2. Step 2: Convert to fraction form
    564,408/864,594 = 864,594/x
  3. Step 3: Cross multiply
    564,408x = 864,594 × 864,594
  4. Step 4: Simplify right side
    564,408x = 747,522,784,836
  5. Step 5: Solve for x
    x = 747,522,784,836/564,408
  6. Step 6: Final answer
    x = 1,324,436.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.