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Finding the Third Proportional to 227,637 and 491,747

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Solution

The third proportional to 227,637 and 491,747 is: 1,062,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,637 : 491,747 = 491,747 : x
  2. Step 2: Convert to fraction form
    227,637/491,747 = 491,747/x
  3. Step 3: Cross multiply
    227,637x = 491,747 × 491,747
  4. Step 4: Simplify right side
    227,637x = 241,815,112,009
  5. Step 5: Solve for x
    x = 241,815,112,009/227,637
  6. Step 6: Final answer
    x = 1,062,283.86

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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.