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Finding the Third Proportional to 211,427 and 327,882

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Solution

The third proportional to 211,427 and 327,882 is: 508,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,427 : 327,882 = 327,882 : x
  2. Step 2: Convert to fraction form
    211,427/327,882 = 327,882/x
  3. Step 3: Cross multiply
    211,427x = 327,882 × 327,882
  4. Step 4: Simplify right side
    211,427x = 107,506,605,924
  5. Step 5: Solve for x
    x = 107,506,605,924/211,427
  6. Step 6: Final answer
    x = 508,480.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.