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Finding the Third Proportional to 218,841.75 and 476,026.88

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Solution

The third proportional to 218,841.75 and 476,026.88 is: 1,035,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,841.75 : 476,026.88 = 476,026.88 : x
  2. Step 2: Convert to fraction form
    218,841.75/476,026.88 = 476,026.88/x
  3. Step 3: Cross multiply
    218,841.75x = 476,026.88 × 476,026.88
  4. Step 4: Simplify right side
    218,841.75x = 226,601,585,722.27
  5. Step 5: Solve for x
    x = 226,601,585,722.27/218,841.75
  6. Step 6: Final answer
    x = 1,035,458.66

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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.