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Finding the Third Proportional to 204,034 and 432,314

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Solution

The third proportional to 204,034 and 432,314 is: 916,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,034 : 432,314 = 432,314 : x
  2. Step 2: Convert to fraction form
    204,034/432,314 = 432,314/x
  3. Step 3: Cross multiply
    204,034x = 432,314 × 432,314
  4. Step 4: Simplify right side
    204,034x = 186,895,394,596
  5. Step 5: Solve for x
    x = 186,895,394,596/204,034
  6. Step 6: Final answer
    x = 916,001.23

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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.