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Finding the Third Proportional to 650,232.25 and 1,396,337

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Solution

The third proportional to 650,232.25 and 1,396,337 is: 2,998,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,232.25 : 1,396,337 = 1,396,337 : x
  2. Step 2: Convert to fraction form
    650,232.25/1,396,337 = 1,396,337/x
  3. Step 3: Cross multiply
    650,232.25x = 1,396,337 × 1,396,337
  4. Step 4: Simplify right side
    650,232.25x = 1,949,757,017,569
  5. Step 5: Solve for x
    x = 1,949,757,017,569/650,232.25
  6. Step 6: Final answer
    x = 2,998,554.77

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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.