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Finding the Third Proportional to 218,013.75 and 469,419.75

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Solution

The third proportional to 218,013.75 and 469,419.75 is: 1,010,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,013.75 : 469,419.75 = 469,419.75 : x
  2. Step 2: Convert to fraction form
    218,013.75/469,419.75 = 469,419.75/x
  3. Step 3: Cross multiply
    218,013.75x = 469,419.75 × 469,419.75
  4. Step 4: Simplify right side
    218,013.75x = 220,354,901,690.06
  5. Step 5: Solve for x
    x = 220,354,901,690.06/218,013.75
  6. Step 6: Final answer
    x = 1,010,738.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.