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Finding the Third Proportional to 207,850 and 447,756

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Solution

The third proportional to 207,850 and 447,756 is: 964,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,850 : 447,756 = 447,756 : x
  2. Step 2: Convert to fraction form
    207,850/447,756 = 447,756/x
  3. Step 3: Cross multiply
    207,850x = 447,756 × 447,756
  4. Step 4: Simplify right side
    207,850x = 200,485,435,536
  5. Step 5: Solve for x
    x = 200,485,435,536/207,850
  6. Step 6: Final answer
    x = 964,567.89

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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.