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Finding the Third Proportional to 485,150 and 737,517

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Solution

The third proportional to 485,150 and 737,517 is: 1,121,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,150 : 737,517 = 737,517 : x
  2. Step 2: Convert to fraction form
    485,150/737,517 = 737,517/x
  3. Step 3: Cross multiply
    485,150x = 737,517 × 737,517
  4. Step 4: Simplify right side
    485,150x = 543,931,325,289
  5. Step 5: Solve for x
    x = 543,931,325,289/485,150
  6. Step 6: Final answer
    x = 1,121,161.14

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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.