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Finding the Third Proportional to 341,992.13 and 513,170.44

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Solution

The third proportional to 341,992.13 and 513,170.44 is: 770,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,992.13 : 513,170.44 = 513,170.44 : x
  2. Step 2: Convert to fraction form
    341,992.13/513,170.44 = 513,170.44/x
  3. Step 3: Cross multiply
    341,992.13x = 513,170.44 × 513,170.44
  4. Step 4: Simplify right side
    341,992.13x = 263,343,897,923.94
  5. Step 5: Solve for x
    x = 263,343,897,923.94/341,992.13
  6. Step 6: Final answer
    x = 770,029.13

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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.