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Finding the Third Proportional to 207,798 and 447,374

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Solution

The third proportional to 207,798 and 447,374 is: 963,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,798 : 447,374 = 447,374 : x
  2. Step 2: Convert to fraction form
    207,798/447,374 = 447,374/x
  3. Step 3: Cross multiply
    207,798x = 447,374 × 447,374
  4. Step 4: Simplify right side
    207,798x = 200,143,495,876
  5. Step 5: Solve for x
    x = 200,143,495,876/207,798
  6. Step 6: Final answer
    x = 963,163.73

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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.