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Finding the Third Proportional to 191,062 and 404,882

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Solution

The third proportional to 191,062 and 404,882 is: 857,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,062 : 404,882 = 404,882 : x
  2. Step 2: Convert to fraction form
    191,062/404,882 = 404,882/x
  3. Step 3: Cross multiply
    191,062x = 404,882 × 404,882
  4. Step 4: Simplify right side
    191,062x = 163,929,433,924
  5. Step 5: Solve for x
    x = 163,929,433,924/191,062
  6. Step 6: Final answer
    x = 857,990.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.