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Finding the Third Proportional to 437,681 and 625,876

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Solution

The third proportional to 437,681 and 625,876 is: 894,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,681 : 625,876 = 625,876 : x
  2. Step 2: Convert to fraction form
    437,681/625,876 = 625,876/x
  3. Step 3: Cross multiply
    437,681x = 625,876 × 625,876
  4. Step 4: Simplify right side
    437,681x = 391,720,767,376
  5. Step 5: Solve for x
    x = 391,720,767,376/437,681
  6. Step 6: Final answer
    x = 894,991.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.