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Finding the Third Proportional to 227,637 and 327,897

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Solution

The third proportional to 227,637 and 327,897 is: 472,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,637 : 327,897 = 327,897 : x
  2. Step 2: Convert to fraction form
    227,637/327,897 = 327,897/x
  3. Step 3: Cross multiply
    227,637x = 327,897 × 327,897
  4. Step 4: Simplify right side
    227,637x = 107,516,442,609
  5. Step 5: Solve for x
    x = 107,516,442,609/227,637
  6. Step 6: Final answer
    x = 472,315.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.