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Finding the Third Proportional to 218,087.44 and 476,679.94

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Solution

The third proportional to 218,087.44 and 476,679.94 is: 1,041,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,087.44 : 476,679.94 = 476,679.94 : x
  2. Step 2: Convert to fraction form
    218,087.44/476,679.94 = 476,679.94/x
  3. Step 3: Cross multiply
    218,087.44x = 476,679.94 × 476,679.94
  4. Step 4: Simplify right side
    218,087.44x = 227,223,762,815.00
  5. Step 5: Solve for x
    x = 227,223,762,815.00/218,087.44
  6. Step 6: Final answer
    x = 1,041,892.95

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Why These Related Problems?

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