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Finding the Third Proportional to 207,348 and 447,384

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Solution

The third proportional to 207,348 and 447,384 is: 965,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,348 : 447,384 = 447,384 : x
  2. Step 2: Convert to fraction form
    207,348/447,384 = 447,384/x
  3. Step 3: Cross multiply
    207,348x = 447,384 × 447,384
  4. Step 4: Simplify right side
    207,348x = 200,152,443,456
  5. Step 5: Solve for x
    x = 200,152,443,456/207,348
  6. Step 6: Final answer
    x = 965,297.20

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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.