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Finding the Third Proportional to 218,080.50 and 476,665.50

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Solution

The third proportional to 218,080.50 and 476,665.50 is: 1,041,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,080.50 : 476,665.50 = 476,665.50 : x
  2. Step 2: Convert to fraction form
    218,080.50/476,665.50 = 476,665.50/x
  3. Step 3: Cross multiply
    218,080.50x = 476,665.50 × 476,665.50
  4. Step 4: Simplify right side
    218,080.50x = 227,209,998,890.25
  5. Step 5: Solve for x
    x = 227,209,998,890.25/218,080.50
  6. Step 6: Final answer
    x = 1,041,862.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.