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Finding the Third Proportional to 485,154 and 737,524

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Solution

The third proportional to 485,154 and 737,524 is: 1,121,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,154 : 737,524 = 737,524 : x
  2. Step 2: Convert to fraction form
    485,154/737,524 = 737,524/x
  3. Step 3: Cross multiply
    485,154x = 737,524 × 737,524
  4. Step 4: Simplify right side
    485,154x = 543,941,650,576
  5. Step 5: Solve for x
    x = 543,941,650,576/485,154
  6. Step 6: Final answer
    x = 1,121,173.18

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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.