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Finding the Third Proportional to 342,339.75 and 513,573.75

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Solution

The third proportional to 342,339.75 and 513,573.75 is: 770,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,339.75 : 513,573.75 = 513,573.75 : x
  2. Step 2: Convert to fraction form
    342,339.75/513,573.75 = 513,573.75/x
  3. Step 3: Cross multiply
    342,339.75x = 513,573.75 × 513,573.75
  4. Step 4: Simplify right side
    342,339.75x = 263,757,996,689.06
  5. Step 5: Solve for x
    x = 263,757,996,689.06/342,339.75
  6. Step 6: Final answer
    x = 770,456.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.