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Finding the Third Proportional to 218,935.13 and 473,854.50

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Solution

The third proportional to 218,935.13 and 473,854.50 is: 1,025,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,935.13 : 473,854.50 = 473,854.50 : x
  2. Step 2: Convert to fraction form
    218,935.13/473,854.50 = 473,854.50/x
  3. Step 3: Cross multiply
    218,935.13x = 473,854.50 × 473,854.50
  4. Step 4: Simplify right side
    218,935.13x = 224,538,087,170.25
  5. Step 5: Solve for x
    x = 224,538,087,170.25/218,935.13
  6. Step 6: Final answer
    x = 1,025,591.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.