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Finding the Third Proportional to 408,462.75 and 944,055

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Solution

The third proportional to 408,462.75 and 944,055 is: 2,181,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,462.75 : 944,055 = 944,055 : x
  2. Step 2: Convert to fraction form
    408,462.75/944,055 = 944,055/x
  3. Step 3: Cross multiply
    408,462.75x = 944,055 × 944,055
  4. Step 4: Simplify right side
    408,462.75x = 891,239,843,025
  5. Step 5: Solve for x
    x = 891,239,843,025/408,462.75
  6. Step 6: Final answer
    x = 2,181,936.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.