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Finding the Third Proportional to 425,589 and 632,355

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Solution

The third proportional to 425,589 and 632,355 is: 939,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,589 : 632,355 = 632,355 : x
  2. Step 2: Convert to fraction form
    425,589/632,355 = 632,355/x
  3. Step 3: Cross multiply
    425,589x = 632,355 × 632,355
  4. Step 4: Simplify right side
    425,589x = 399,872,846,025
  5. Step 5: Solve for x
    x = 399,872,846,025/425,589
  6. Step 6: Final answer
    x = 939,575.14

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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.