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Finding the Third Proportional to 218,036.25 and 467,601.75

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Solution

The third proportional to 218,036.25 and 467,601.75 is: 1,002,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,036.25 : 467,601.75 = 467,601.75 : x
  2. Step 2: Convert to fraction form
    218,036.25/467,601.75 = 467,601.75/x
  3. Step 3: Cross multiply
    218,036.25x = 467,601.75 × 467,601.75
  4. Step 4: Simplify right side
    218,036.25x = 218,651,396,603.06
  5. Step 5: Solve for x
    x = 218,651,396,603.06/218,036.25
  6. Step 6: Final answer
    x = 1,002,821.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.