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Finding the Third Proportional to 283,792 and 611,876

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Solution

The third proportional to 283,792 and 611,876 is: 1,319,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,792 : 611,876 = 611,876 : x
  2. Step 2: Convert to fraction form
    283,792/611,876 = 611,876/x
  3. Step 3: Cross multiply
    283,792x = 611,876 × 611,876
  4. Step 4: Simplify right side
    283,792x = 374,392,239,376
  5. Step 5: Solve for x
    x = 374,392,239,376/283,792
  6. Step 6: Final answer
    x = 1,319,248.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.