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Finding the Third Proportional to 218,524 and 472,040

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Solution

The third proportional to 218,524 and 472,040 is: 1,019,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,524 : 472,040 = 472,040 : x
  2. Step 2: Convert to fraction form
    218,524/472,040 = 472,040/x
  3. Step 3: Cross multiply
    218,524x = 472,040 × 472,040
  4. Step 4: Simplify right side
    218,524x = 222,821,761,600
  5. Step 5: Solve for x
    x = 222,821,761,600/218,524
  6. Step 6: Final answer
    x = 1,019,667.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.