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Finding the Third Proportional to 191,277 and 411,822

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Solution

The third proportional to 191,277 and 411,822 is: 886,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,277 : 411,822 = 411,822 : x
  2. Step 2: Convert to fraction form
    191,277/411,822 = 411,822/x
  3. Step 3: Cross multiply
    191,277x = 411,822 × 411,822
  4. Step 4: Simplify right side
    191,277x = 169,597,359,684
  5. Step 5: Solve for x
    x = 169,597,359,684/191,277
  6. Step 6: Final answer
    x = 886,658.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.