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Finding the Third Proportional to 218,884.50 and 476,106.75

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Solution

The third proportional to 218,884.50 and 476,106.75 is: 1,035,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,884.50 : 476,106.75 = 476,106.75 : x
  2. Step 2: Convert to fraction form
    218,884.50/476,106.75 = 476,106.75/x
  3. Step 3: Cross multiply
    218,884.50x = 476,106.75 × 476,106.75
  4. Step 4: Simplify right side
    218,884.50x = 226,677,637,395.56
  5. Step 5: Solve for x
    x = 226,677,637,395.56/218,884.50
  6. Step 6: Final answer
    x = 1,035,603.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.