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Finding the Third Proportional to 207,768 and 444,336

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Solution

The third proportional to 207,768 and 444,336 is: 950,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,768 : 444,336 = 444,336 : x
  2. Step 2: Convert to fraction form
    207,768/444,336 = 444,336/x
  3. Step 3: Cross multiply
    207,768x = 444,336 × 444,336
  4. Step 4: Simplify right side
    207,768x = 197,434,480,896
  5. Step 5: Solve for x
    x = 197,434,480,896/207,768
  6. Step 6: Final answer
    x = 950,264.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.