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Finding the Third Proportional to 329,383.13 and 719,003.25

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Solution

The third proportional to 329,383.13 and 719,003.25 is: 1,569,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,383.13 : 719,003.25 = 719,003.25 : x
  2. Step 2: Convert to fraction form
    329,383.13/719,003.25 = 719,003.25/x
  3. Step 3: Cross multiply
    329,383.13x = 719,003.25 × 719,003.25
  4. Step 4: Simplify right side
    329,383.13x = 516,965,673,510.56
  5. Step 5: Solve for x
    x = 516,965,673,510.56/329,383.13
  6. Step 6: Final answer
    x = 1,569,496.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.