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Finding the Third Proportional to 207,864 and 447,786

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Solution

The third proportional to 207,864 and 447,786 is: 964,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,864 : 447,786 = 447,786 : x
  2. Step 2: Convert to fraction form
    207,864/447,786 = 447,786/x
  3. Step 3: Cross multiply
    207,864x = 447,786 × 447,786
  4. Step 4: Simplify right side
    207,864x = 200,512,301,796
  5. Step 5: Solve for x
    x = 200,512,301,796/207,864
  6. Step 6: Final answer
    x = 964,632.17

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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.