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Finding the Third Proportional to 519.77 and 1,125.98

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Solution

The third proportional to 519.77 and 1,125.98 is: 2,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.77 : 1,125.98 = 1,125.98 : x
  2. Step 2: Convert to fraction form
    519.77/1,125.98 = 1,125.98/x
  3. Step 3: Cross multiply
    519.77x = 1,125.98 × 1,125.98
  4. Step 4: Simplify right side
    519.77x = 1,267,840.81
  5. Step 5: Solve for x
    x = 1,267,840.81/519.77
  6. Step 6: Final answer
    x = 2,439.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.