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Finding the Third Proportional to 519.43 and 1,116.07

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Solution

The third proportional to 519.43 and 1,116.07 is: 2,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.43 : 1,116.07 = 1,116.07 : x
  2. Step 2: Convert to fraction form
    519.43/1,116.07 = 1,116.07/x
  3. Step 3: Cross multiply
    519.43x = 1,116.07 × 1,116.07
  4. Step 4: Simplify right side
    519.43x = 1,245,612.94
  5. Step 5: Solve for x
    x = 1,245,612.94/519.43
  6. Step 6: Final answer
    x = 2,398.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.