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Finding the Third Proportional to 207,746 and 447,269

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Solution

The third proportional to 207,746 and 447,269 is: 962,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,746 : 447,269 = 447,269 : x
  2. Step 2: Convert to fraction form
    207,746/447,269 = 447,269/x
  3. Step 3: Cross multiply
    207,746x = 447,269 × 447,269
  4. Step 4: Simplify right side
    207,746x = 200,049,558,361
  5. Step 5: Solve for x
    x = 200,049,558,361/207,746
  6. Step 6: Final answer
    x = 962,952.64

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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.