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Finding the Third Proportional to 457,076.25 and 984,394.69

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Solution

The third proportional to 457,076.25 and 984,394.69 is: 2,120,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,076.25 : 984,394.69 = 984,394.69 : x
  2. Step 2: Convert to fraction form
    457,076.25/984,394.69 = 984,394.69/x
  3. Step 3: Cross multiply
    457,076.25x = 984,394.69 × 984,394.69
  4. Step 4: Simplify right side
    457,076.25x = 969,032,900,778.22
  5. Step 5: Solve for x
    x = 969,032,900,778.22/457,076.25
  6. Step 6: Final answer
    x = 2,120,068.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.