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Finding the Third Proportional to 329,703.75 and 843,945.75

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Solution

The third proportional to 329,703.75 and 843,945.75 is: 2,160,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,703.75 : 843,945.75 = 843,945.75 : x
  2. Step 2: Convert to fraction form
    329,703.75/843,945.75 = 843,945.75/x
  3. Step 3: Cross multiply
    329,703.75x = 843,945.75 × 843,945.75
  4. Step 4: Simplify right side
    329,703.75x = 712,244,428,943.06
  5. Step 5: Solve for x
    x = 712,244,428,943.06/329,703.75
  6. Step 6: Final answer
    x = 2,160,255.77

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.