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Finding the Third Proportional to 207,807.71 and 447,672.76

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Solution

The third proportional to 207,807.71 and 447,672.76 is: 964,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,807.71 : 447,672.76 = 447,672.76 : x
  2. Step 2: Convert to fraction form
    207,807.71/447,672.76 = 447,672.76/x
  3. Step 3: Cross multiply
    207,807.71x = 447,672.76 × 447,672.76
  4. Step 4: Simplify right side
    207,807.71x = 200,410,901,584.89
  5. Step 5: Solve for x
    x = 200,410,901,584.89/207,807.71
  6. Step 6: Final answer
    x = 964,405.49

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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.