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Finding the Third Proportional to 207,780.19 and 447,340.22

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Solution

The third proportional to 207,780.19 and 447,340.22 is: 963,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,780.19 : 447,340.22 = 447,340.22 : x
  2. Step 2: Convert to fraction form
    207,780.19/447,340.22 = 447,340.22/x
  3. Step 3: Cross multiply
    207,780.19x = 447,340.22 × 447,340.22
  4. Step 4: Simplify right side
    207,780.19x = 200,113,271,311.30
  5. Step 5: Solve for x
    x = 200,113,271,311.30/207,780.19
  6. Step 6: Final answer
    x = 963,100.83

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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.