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Finding the Third Proportional to 191,001 and 402,909

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Solution

The third proportional to 191,001 and 402,909 is: 849,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,001 : 402,909 = 402,909 : x
  2. Step 2: Convert to fraction form
    191,001/402,909 = 402,909/x
  3. Step 3: Cross multiply
    191,001x = 402,909 × 402,909
  4. Step 4: Simplify right side
    191,001x = 162,335,662,281
  5. Step 5: Solve for x
    x = 162,335,662,281/191,001
  6. Step 6: Final answer
    x = 849,920.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.