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Finding the Third Proportional to 414,094.78 and 887,238.56

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Solution

The third proportional to 414,094.78 and 887,238.56 is: 1,900,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,094.78 : 887,238.56 = 887,238.56 : x
  2. Step 2: Convert to fraction form
    414,094.78/887,238.56 = 887,238.56/x
  3. Step 3: Cross multiply
    414,094.78x = 887,238.56 × 887,238.56
  4. Step 4: Simplify right side
    414,094.78x = 787,192,266,787.07
  5. Step 5: Solve for x
    x = 787,192,266,787.07/414,094.78
  6. Step 6: Final answer
    x = 1,900,995.38

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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.