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Finding the Third Proportional to 519.54 and 1,130.20

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Solution

The third proportional to 519.54 and 1,130.20 is: 2,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 1,130.20 = 1,130.20 : x
  2. Step 2: Convert to fraction form
    519.54/1,130.20 = 1,130.20/x
  3. Step 3: Cross multiply
    519.54x = 1,130.20 × 1,130.20
  4. Step 4: Simplify right side
    519.54x = 1,277,359.10
  5. Step 5: Solve for x
    x = 1,277,359.10/519.54
  6. Step 6: Final answer
    x = 2,458.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.