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Finding the Third Proportional to 337,476.75 and 474,640.50

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Solution

The third proportional to 337,476.75 and 474,640.50 is: 667,552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,476.75 : 474,640.50 = 474,640.50 : x
  2. Step 2: Convert to fraction form
    337,476.75/474,640.50 = 474,640.50/x
  3. Step 3: Cross multiply
    337,476.75x = 474,640.50 × 474,640.50
  4. Step 4: Simplify right side
    337,476.75x = 225,283,604,240.25
  5. Step 5: Solve for x
    x = 225,283,604,240.25/337,476.75
  6. Step 6: Final answer
    x = 667,552.96

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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.