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Finding the Third Proportional to 281,514.75 and 664,270.88

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Solution

The third proportional to 281,514.75 and 664,270.88 is: 1,567,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,514.75 : 664,270.88 = 664,270.88 : x
  2. Step 2: Convert to fraction form
    281,514.75/664,270.88 = 664,270.88/x
  3. Step 3: Cross multiply
    281,514.75x = 664,270.88 × 664,270.88
  4. Step 4: Simplify right side
    281,514.75x = 441,255,795,373.27
  5. Step 5: Solve for x
    x = 441,255,795,373.27/281,514.75
  6. Step 6: Final answer
    x = 1,567,434.02

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.