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Finding the Third Proportional to 688,134 and 950,876

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Solution

The third proportional to 688,134 and 950,876 is: 1,313,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,134 : 950,876 = 950,876 : x
  2. Step 2: Convert to fraction form
    688,134/950,876 = 950,876/x
  3. Step 3: Cross multiply
    688,134x = 950,876 × 950,876
  4. Step 4: Simplify right side
    688,134x = 904,165,167,376
  5. Step 5: Solve for x
    x = 904,165,167,376/688,134
  6. Step 6: Final answer
    x = 1,313,937.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.