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Finding the Third Proportional to 340,232.06 and 513,082.69

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Solution

The third proportional to 340,232.06 and 513,082.69 is: 773,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,232.06 : 513,082.69 = 513,082.69 : x
  2. Step 2: Convert to fraction form
    340,232.06/513,082.69 = 513,082.69/x
  3. Step 3: Cross multiply
    340,232.06x = 513,082.69 × 513,082.69
  4. Step 4: Simplify right side
    340,232.06x = 263,253,844,212.22
  5. Step 5: Solve for x
    x = 263,253,844,212.22/340,232.06
  6. Step 6: Final answer
    x = 773,747.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.