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Finding the Third Proportional to 204,776 and 440,648

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Solution

The third proportional to 204,776 and 440,648 is: 948,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,776 : 440,648 = 440,648 : x
  2. Step 2: Convert to fraction form
    204,776/440,648 = 440,648/x
  3. Step 3: Cross multiply
    204,776x = 440,648 × 440,648
  4. Step 4: Simplify right side
    204,776x = 194,170,659,904
  5. Step 5: Solve for x
    x = 194,170,659,904/204,776
  6. Step 6: Final answer
    x = 948,210.04

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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.