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Finding the Third Proportional to 337,776 and 475,074

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Solution

The third proportional to 337,776 and 475,074 is: 668,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,776 : 475,074 = 475,074 : x
  2. Step 2: Convert to fraction form
    337,776/475,074 = 475,074/x
  3. Step 3: Cross multiply
    337,776x = 475,074 × 475,074
  4. Step 4: Simplify right side
    337,776x = 225,695,305,476
  5. Step 5: Solve for x
    x = 225,695,305,476/337,776
  6. Step 6: Final answer
    x = 668,180.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.