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Finding the Third Proportional to 414,744 and 888,240

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Solution

The third proportional to 414,744 and 888,240 is: 1,902,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,744 : 888,240 = 888,240 : x
  2. Step 2: Convert to fraction form
    414,744/888,240 = 888,240/x
  3. Step 3: Cross multiply
    414,744x = 888,240 × 888,240
  4. Step 4: Simplify right side
    414,744x = 788,970,297,600
  5. Step 5: Solve for x
    x = 788,970,297,600/414,744
  6. Step 6: Final answer
    x = 1,902,306.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.