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Finding the Third Proportional to 485,144 and 737,508

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Solution

The third proportional to 485,144 and 737,508 is: 1,121,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,144 : 737,508 = 737,508 : x
  2. Step 2: Convert to fraction form
    485,144/737,508 = 737,508/x
  3. Step 3: Cross multiply
    485,144x = 737,508 × 737,508
  4. Step 4: Simplify right side
    485,144x = 543,918,050,064
  5. Step 5: Solve for x
    x = 543,918,050,064/485,144
  6. Step 6: Final answer
    x = 1,121,147.64

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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.