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Finding the Third Proportional to 503.88 and 1,099.88

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Solution

The third proportional to 503.88 and 1,099.88 is: 2,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.88 : 1,099.88 = 1,099.88 : x
  2. Step 2: Convert to fraction form
    503.88/1,099.88 = 1,099.88/x
  3. Step 3: Cross multiply
    503.88x = 1,099.88 × 1,099.88
  4. Step 4: Simplify right side
    503.88x = 1,209,725.02
  5. Step 5: Solve for x
    x = 1,209,725.02/503.88
  6. Step 6: Final answer
    x = 2,400.84

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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.