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Finding the Third Proportional to 207,827 and 447,442

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Solution

The third proportional to 207,827 and 447,442 is: 963,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,827 : 447,442 = 447,442 : x
  2. Step 2: Convert to fraction form
    207,827/447,442 = 447,442/x
  3. Step 3: Cross multiply
    207,827x = 447,442 × 447,442
  4. Step 4: Simplify right side
    207,827x = 200,204,343,364
  5. Step 5: Solve for x
    x = 200,204,343,364/207,827
  6. Step 6: Final answer
    x = 963,322.11

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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.