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Finding the Third Proportional to 207,901.69 and 448,984.27

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Solution

The third proportional to 207,901.69 and 448,984.27 is: 969,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,901.69 : 448,984.27 = 448,984.27 : x
  2. Step 2: Convert to fraction form
    207,901.69/448,984.27 = 448,984.27/x
  3. Step 3: Cross multiply
    207,901.69x = 448,984.27 × 448,984.27
  4. Step 4: Simplify right side
    207,901.69x = 201,586,870,778.82
  5. Step 5: Solve for x
    x = 201,586,870,778.82/207,901.69
  6. Step 6: Final answer
    x = 969,625.95

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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.