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Finding the Third Proportional to 393,945.75 and 865,046.25

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Solution

The third proportional to 393,945.75 and 865,046.25 is: 1,899,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,945.75 : 865,046.25 = 865,046.25 : x
  2. Step 2: Convert to fraction form
    393,945.75/865,046.25 = 865,046.25/x
  3. Step 3: Cross multiply
    393,945.75x = 865,046.25 × 865,046.25
  4. Step 4: Simplify right side
    393,945.75x = 748,305,014,639.06
  5. Step 5: Solve for x
    x = 748,305,014,639.06/393,945.75
  6. Step 6: Final answer
    x = 1,899,512.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.