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Finding the Third Proportional to 441,524 and 960,376

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Solution

The third proportional to 441,524 and 960,376 is: 2,088,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,524 : 960,376 = 960,376 : x
  2. Step 2: Convert to fraction form
    441,524/960,376 = 960,376/x
  3. Step 3: Cross multiply
    441,524x = 960,376 × 960,376
  4. Step 4: Simplify right side
    441,524x = 922,322,061,376
  5. Step 5: Solve for x
    x = 922,322,061,376/441,524
  6. Step 6: Final answer
    x = 2,088,951.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.