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Finding the Third Proportional to 207,841 and 447,737

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Solution

The third proportional to 207,841 and 447,737 is: 964,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,841 : 447,737 = 447,737 : x
  2. Step 2: Convert to fraction form
    207,841/447,737 = 447,737/x
  3. Step 3: Cross multiply
    207,841x = 447,737 × 447,737
  4. Step 4: Simplify right side
    207,841x = 200,468,421,169
  5. Step 5: Solve for x
    x = 200,468,421,169/207,841
  6. Step 6: Final answer
    x = 964,527.79

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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.