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Finding the Third Proportional to 207,512 and 442,672

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Solution

The third proportional to 207,512 and 442,672 is: 944,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,512 : 442,672 = 442,672 : x
  2. Step 2: Convert to fraction form
    207,512/442,672 = 442,672/x
  3. Step 3: Cross multiply
    207,512x = 442,672 × 442,672
  4. Step 4: Simplify right side
    207,512x = 195,958,499,584
  5. Step 5: Solve for x
    x = 195,958,499,584/207,512
  6. Step 6: Final answer
    x = 944,323.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.