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Finding the Third Proportional to 378,776 and 876,965

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Solution

The third proportional to 378,776 and 876,965 is: 2,030,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,776 : 876,965 = 876,965 : x
  2. Step 2: Convert to fraction form
    378,776/876,965 = 876,965/x
  3. Step 3: Cross multiply
    378,776x = 876,965 × 876,965
  4. Step 4: Simplify right side
    378,776x = 769,067,611,225
  5. Step 5: Solve for x
    x = 769,067,611,225/378,776
  6. Step 6: Final answer
    x = 2,030,402.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.