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Finding the Third Proportional to 207,874 and 447,772

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Solution

The third proportional to 207,874 and 447,772 is: 964,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,874 : 447,772 = 447,772 : x
  2. Step 2: Convert to fraction form
    207,874/447,772 = 447,772/x
  3. Step 3: Cross multiply
    207,874x = 447,772 × 447,772
  4. Step 4: Simplify right side
    207,874x = 200,499,763,984
  5. Step 5: Solve for x
    x = 200,499,763,984/207,874
  6. Step 6: Final answer
    x = 964,525.45

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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.