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Finding the Third Proportional to 442,656 and 960,372

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Solution

The third proportional to 442,656 and 960,372 is: 2,083,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,656 : 960,372 = 960,372 : x
  2. Step 2: Convert to fraction form
    442,656/960,372 = 960,372/x
  3. Step 3: Cross multiply
    442,656x = 960,372 × 960,372
  4. Step 4: Simplify right side
    442,656x = 922,314,378,384
  5. Step 5: Solve for x
    x = 922,314,378,384/442,656
  6. Step 6: Final answer
    x = 2,083,591.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.