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Finding the Third Proportional to 322,965.75 and 695,286.75

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Solution

The third proportional to 322,965.75 and 695,286.75 is: 1,496,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,965.75 : 695,286.75 = 695,286.75 : x
  2. Step 2: Convert to fraction form
    322,965.75/695,286.75 = 695,286.75/x
  3. Step 3: Cross multiply
    322,965.75x = 695,286.75 × 695,286.75
  4. Step 4: Simplify right side
    322,965.75x = 483,423,664,725.56
  5. Step 5: Solve for x
    x = 483,423,664,725.56/322,965.75
  6. Step 6: Final answer
    x = 1,496,826.41

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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.