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Finding the Third Proportional to 700.60 and 1,099.16

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Solution

The third proportional to 700.60 and 1,099.16 is: 1,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.60 : 1,099.16 = 1,099.16 : x
  2. Step 2: Convert to fraction form
    700.60/1,099.16 = 1,099.16/x
  3. Step 3: Cross multiply
    700.60x = 1,099.16 × 1,099.16
  4. Step 4: Simplify right side
    700.60x = 1,208,143.39
  5. Step 5: Solve for x
    x = 1,208,143.39/700.60
  6. Step 6: Final answer
    x = 1,724.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.