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Finding the Third Proportional to 200,960 and 431,061

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Solution

The third proportional to 200,960 and 431,061 is: 924,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,960 : 431,061 = 431,061 : x
  2. Step 2: Convert to fraction form
    200,960/431,061 = 431,061/x
  3. Step 3: Cross multiply
    200,960x = 431,061 × 431,061
  4. Step 4: Simplify right side
    200,960x = 185,813,585,721
  5. Step 5: Solve for x
    x = 185,813,585,721/200,960
  6. Step 6: Final answer
    x = 924,629.71

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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.