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Finding the Third Proportional to 485,644 and 737,214

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Solution

The third proportional to 485,644 and 737,214 is: 1,119,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,644 : 737,214 = 737,214 : x
  2. Step 2: Convert to fraction form
    485,644/737,214 = 737,214/x
  3. Step 3: Cross multiply
    485,644x = 737,214 × 737,214
  4. Step 4: Simplify right side
    485,644x = 543,484,481,796
  5. Step 5: Solve for x
    x = 543,484,481,796/485,644
  6. Step 6: Final answer
    x = 1,119,100.58

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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.