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Finding the Third Proportional to 349,760 and 513,042

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Solution

The third proportional to 349,760 and 513,042 is: 752,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,760 : 513,042 = 513,042 : x
  2. Step 2: Convert to fraction form
    349,760/513,042 = 513,042/x
  3. Step 3: Cross multiply
    349,760x = 513,042 × 513,042
  4. Step 4: Simplify right side
    349,760x = 263,212,093,764
  5. Step 5: Solve for x
    x = 263,212,093,764/349,760
  6. Step 6: Final answer
    x = 752,550.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.