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Finding the Third Proportional to 347.06 and 519.19

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Solution

The third proportional to 347.06 and 519.19 is: 776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.06 : 519.19 = 519.19 : x
  2. Step 2: Convert to fraction form
    347.06/519.19 = 519.19/x
  3. Step 3: Cross multiply
    347.06x = 519.19 × 519.19
  4. Step 4: Simplify right side
    347.06x = 269,555.66
  5. Step 5: Solve for x
    x = 269,555.66/347.06
  6. Step 6: Final answer
    x = 776.68

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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.