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Finding the Third Proportional to 520.65 and 1,099.83

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Solution

The third proportional to 520.65 and 1,099.83 is: 2,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.65 : 1,099.83 = 1,099.83 : x
  2. Step 2: Convert to fraction form
    520.65/1,099.83 = 1,099.83/x
  3. Step 3: Cross multiply
    520.65x = 1,099.83 × 1,099.83
  4. Step 4: Simplify right side
    520.65x = 1,209,621.90
  5. Step 5: Solve for x
    x = 1,209,621.90/520.65
  6. Step 6: Final answer
    x = 2,323.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.