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Finding the Third Proportional to 407,334 and 617,775

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Solution

The third proportional to 407,334 and 617,775 is: 936,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,334 : 617,775 = 617,775 : x
  2. Step 2: Convert to fraction form
    407,334/617,775 = 617,775/x
  3. Step 3: Cross multiply
    407,334x = 617,775 × 617,775
  4. Step 4: Simplify right side
    407,334x = 381,645,950,625
  5. Step 5: Solve for x
    x = 381,645,950,625/407,334
  6. Step 6: Final answer
    x = 936,936.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.