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Finding the Third Proportional to 574,126 and 854,625

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Solution

The third proportional to 574,126 and 854,625 is: 1,272,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,126 : 854,625 = 854,625 : x
  2. Step 2: Convert to fraction form
    574,126/854,625 = 854,625/x
  3. Step 3: Cross multiply
    574,126x = 854,625 × 854,625
  4. Step 4: Simplify right side
    574,126x = 730,383,890,625
  5. Step 5: Solve for x
    x = 730,383,890,625/574,126
  6. Step 6: Final answer
    x = 1,272,166.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.