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Finding the Third Proportional to 414,760 and 888,464

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Solution

The third proportional to 414,760 and 888,464 is: 1,903,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,760 : 888,464 = 888,464 : x
  2. Step 2: Convert to fraction form
    414,760/888,464 = 888,464/x
  3. Step 3: Cross multiply
    414,760x = 888,464 × 888,464
  4. Step 4: Simplify right side
    414,760x = 789,368,279,296
  5. Step 5: Solve for x
    x = 789,368,279,296/414,760
  6. Step 6: Final answer
    x = 1,903,192.88

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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.