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Finding the Third Proportional to 341,996.50 and 513,177

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Solution

The third proportional to 341,996.50 and 513,177 is: 770,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996.50 : 513,177 = 513,177 : x
  2. Step 2: Convert to fraction form
    341,996.50/513,177 = 513,177/x
  3. Step 3: Cross multiply
    341,996.50x = 513,177 × 513,177
  4. Step 4: Simplify right side
    341,996.50x = 263,350,633,329
  5. Step 5: Solve for x
    x = 263,350,633,329/341,996.50
  6. Step 6: Final answer
    x = 770,038.97

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Why These Related Problems?

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