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Finding the Third Proportional to 218,855.25 and 476,057.25

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Solution

The third proportional to 218,855.25 and 476,057.25 is: 1,035,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,855.25 : 476,057.25 = 476,057.25 : x
  2. Step 2: Convert to fraction form
    218,855.25/476,057.25 = 476,057.25/x
  3. Step 3: Cross multiply
    218,855.25x = 476,057.25 × 476,057.25
  4. Step 4: Simplify right side
    218,855.25x = 226,630,505,277.56
  5. Step 5: Solve for x
    x = 226,630,505,277.56/218,855.25
  6. Step 6: Final answer
    x = 1,035,526.93

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Why These Related Problems?

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