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Finding the Third Proportional to 500.98 and 1,099.20

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Solution

The third proportional to 500.98 and 1,099.20 is: 2,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 1,099.20 = 1,099.20 : x
  2. Step 2: Convert to fraction form
    500.98/1,099.20 = 1,099.20/x
  3. Step 3: Cross multiply
    500.98x = 1,099.20 × 1,099.20
  4. Step 4: Simplify right side
    500.98x = 1,208,230.34
  5. Step 5: Solve for x
    x = 1,208,230.34/500.98
  6. Step 6: Final answer
    x = 2,411.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.