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Finding the Third Proportional to 207,844 and 447,742

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Solution

The third proportional to 207,844 and 447,742 is: 964,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,844 : 447,742 = 447,742 : x
  2. Step 2: Convert to fraction form
    207,844/447,742 = 447,742/x
  3. Step 3: Cross multiply
    207,844x = 447,742 × 447,742
  4. Step 4: Simplify right side
    207,844x = 200,472,898,564
  5. Step 5: Solve for x
    x = 200,472,898,564/207,844
  6. Step 6: Final answer
    x = 964,535.41

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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.