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Finding the Third Proportional to 218,016.56 and 467,554.78

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Solution

The third proportional to 218,016.56 and 467,554.78 is: 1,002,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,016.56 : 467,554.78 = 467,554.78 : x
  2. Step 2: Convert to fraction form
    218,016.56/467,554.78 = 467,554.78/x
  3. Step 3: Cross multiply
    218,016.56x = 467,554.78 × 467,554.78
  4. Step 4: Simplify right side
    218,016.56x = 218,607,473,469.74
  5. Step 5: Solve for x
    x = 218,607,473,469.74/218,016.56
  6. Step 6: Final answer
    x = 1,002,710.39

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