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Finding the Third Proportional to 207,274 and 447,632

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Solution

The third proportional to 207,274 and 447,632 is: 966,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,274 : 447,632 = 447,632 : x
  2. Step 2: Convert to fraction form
    207,274/447,632 = 447,632/x
  3. Step 3: Cross multiply
    207,274x = 447,632 × 447,632
  4. Step 4: Simplify right side
    207,274x = 200,374,407,424
  5. Step 5: Solve for x
    x = 200,374,407,424/207,274
  6. Step 6: Final answer
    x = 966,712.70

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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.