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Finding the Third Proportional to 522,241 and 704,626

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Solution

The third proportional to 522,241 and 704,626 is: 950,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,241 : 704,626 = 704,626 : x
  2. Step 2: Convert to fraction form
    522,241/704,626 = 704,626/x
  3. Step 3: Cross multiply
    522,241x = 704,626 × 704,626
  4. Step 4: Simplify right side
    522,241x = 496,497,799,876
  5. Step 5: Solve for x
    x = 496,497,799,876/522,241
  6. Step 6: Final answer
    x = 950,706.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.