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Finding the Third Proportional to 227,143.13 and 491,905.13

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Solution

The third proportional to 227,143.13 and 491,905.13 is: 1,065,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,143.13 : 491,905.13 = 491,905.13 : x
  2. Step 2: Convert to fraction form
    227,143.13/491,905.13 = 491,905.13/x
  3. Step 3: Cross multiply
    227,143.13x = 491,905.13 × 491,905.13
  4. Step 4: Simplify right side
    227,143.13x = 241,970,652,001.27
  5. Step 5: Solve for x
    x = 241,970,652,001.27/227,143.13
  6. Step 6: Final answer
    x = 1,065,278.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.