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Finding the Third Proportional to 225,891.28 and 470,510.44

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Solution

The third proportional to 225,891.28 and 470,510.44 is: 980,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,891.28 : 470,510.44 = 470,510.44 : x
  2. Step 2: Convert to fraction form
    225,891.28/470,510.44 = 470,510.44/x
  3. Step 3: Cross multiply
    225,891.28x = 470,510.44 × 470,510.44
  4. Step 4: Simplify right side
    225,891.28x = 221,380,071,796.44
  5. Step 5: Solve for x
    x = 221,380,071,796.44/225,891.28
  6. Step 6: Final answer
    x = 980,029.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.