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Finding the Third Proportional to 207,302 and 447,684

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Solution

The third proportional to 207,302 and 447,684 is: 966,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,302 : 447,684 = 447,684 : x
  2. Step 2: Convert to fraction form
    207,302/447,684 = 447,684/x
  3. Step 3: Cross multiply
    207,302x = 447,684 × 447,684
  4. Step 4: Simplify right side
    207,302x = 200,420,963,856
  5. Step 5: Solve for x
    x = 200,420,963,856/207,302
  6. Step 6: Final answer
    x = 966,806.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.