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Finding the Third Proportional to 207,112 and 444,432

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Solution

The third proportional to 207,112 and 444,432 is: 953,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,112 : 444,432 = 444,432 : x
  2. Step 2: Convert to fraction form
    207,112/444,432 = 444,432/x
  3. Step 3: Cross multiply
    207,112x = 444,432 × 444,432
  4. Step 4: Simplify right side
    207,112x = 197,519,802,624
  5. Step 5: Solve for x
    x = 197,519,802,624/207,112
  6. Step 6: Final answer
    x = 953,685.94

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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.