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Finding the Third Proportional to 337,901.75 and 472,407.38

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Solution

The third proportional to 337,901.75 and 472,407.38 is: 660,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,901.75 : 472,407.38 = 472,407.38 : x
  2. Step 2: Convert to fraction form
    337,901.75/472,407.38 = 472,407.38/x
  3. Step 3: Cross multiply
    337,901.75x = 472,407.38 × 472,407.38
  4. Step 4: Simplify right side
    337,901.75x = 223,168,727,954.39
  5. Step 5: Solve for x
    x = 223,168,727,954.39/337,901.75
  6. Step 6: Final answer
    x = 660,454.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.