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Finding the Third Proportional to 227,871.56 and 491,070

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Solution

The third proportional to 227,871.56 and 491,070 is: 1,058,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,871.56 : 491,070 = 491,070 : x
  2. Step 2: Convert to fraction form
    227,871.56/491,070 = 491,070/x
  3. Step 3: Cross multiply
    227,871.56x = 491,070 × 491,070
  4. Step 4: Simplify right side
    227,871.56x = 241,149,744,900
  5. Step 5: Solve for x
    x = 241,149,744,900/227,871.56
  6. Step 6: Final answer
    x = 1,058,270.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.