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Finding the Third Proportional to 322,764.75 and 659,785.50

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Solution

The third proportional to 322,764.75 and 659,785.50 is: 1,348,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,764.75 : 659,785.50 = 659,785.50 : x
  2. Step 2: Convert to fraction form
    322,764.75/659,785.50 = 659,785.50/x
  3. Step 3: Cross multiply
    322,764.75x = 659,785.50 × 659,785.50
  4. Step 4: Simplify right side
    322,764.75x = 435,316,906,010.25
  5. Step 5: Solve for x
    x = 435,316,906,010.25/322,764.75
  6. Step 6: Final answer
    x = 1,348,712.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.