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Finding the Third Proportional to 570,704 and 854,496

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Solution

The third proportional to 570,704 and 854,496 is: 1,279,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,704 : 854,496 = 854,496 : x
  2. Step 2: Convert to fraction form
    570,704/854,496 = 854,496/x
  3. Step 3: Cross multiply
    570,704x = 854,496 × 854,496
  4. Step 4: Simplify right side
    570,704x = 730,163,414,016
  5. Step 5: Solve for x
    x = 730,163,414,016/570,704
  6. Step 6: Final answer
    x = 1,279,408.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.