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Finding the Third Proportional to 425,191 and 658,325

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Solution

The third proportional to 425,191 and 658,325 is: 1,019,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,191 : 658,325 = 658,325 : x
  2. Step 2: Convert to fraction form
    425,191/658,325 = 658,325/x
  3. Step 3: Cross multiply
    425,191x = 658,325 × 658,325
  4. Step 4: Simplify right side
    425,191x = 433,391,805,625
  5. Step 5: Solve for x
    x = 433,391,805,625/425,191
  6. Step 6: Final answer
    x = 1,019,287.35

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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.