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Finding the Third Proportional to 610,448 and 929,876

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Solution

The third proportional to 610,448 and 929,876 is: 1,416,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,448 : 929,876 = 929,876 : x
  2. Step 2: Convert to fraction form
    610,448/929,876 = 929,876/x
  3. Step 3: Cross multiply
    610,448x = 929,876 × 929,876
  4. Step 4: Simplify right side
    610,448x = 864,669,375,376
  5. Step 5: Solve for x
    x = 864,669,375,376/610,448
  6. Step 6: Final answer
    x = 1,416,450.50

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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.