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Finding the Third Proportional to 625,884 and 850,200

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Solution

The third proportional to 625,884 and 850,200 is: 1,154,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,884 : 850,200 = 850,200 : x
  2. Step 2: Convert to fraction form
    625,884/850,200 = 850,200/x
  3. Step 3: Cross multiply
    625,884x = 850,200 × 850,200
  4. Step 4: Simplify right side
    625,884x = 722,840,040,000
  5. Step 5: Solve for x
    x = 722,840,040,000/625,884
  6. Step 6: Final answer
    x = 1,154,910.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.