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Finding the Third Proportional to 337,166 and 474,284

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Solution

The third proportional to 337,166 and 474,284 is: 667,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,166 : 474,284 = 474,284 : x
  2. Step 2: Convert to fraction form
    337,166/474,284 = 474,284/x
  3. Step 3: Cross multiply
    337,166x = 474,284 × 474,284
  4. Step 4: Simplify right side
    337,166x = 224,945,312,656
  5. Step 5: Solve for x
    x = 224,945,312,656/337,166
  6. Step 6: Final answer
    x = 667,164.88

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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.