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Finding the Third Proportional to 699.33 and 1,538.16

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Solution

The third proportional to 699.33 and 1,538.16 is: 3,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.33 : 1,538.16 = 1,538.16 : x
  2. Step 2: Convert to fraction form
    699.33/1,538.16 = 1,538.16/x
  3. Step 3: Cross multiply
    699.33x = 1,538.16 × 1,538.16
  4. Step 4: Simplify right side
    699.33x = 2,365,924.65
  5. Step 5: Solve for x
    x = 2,365,924.65/699.33
  6. Step 6: Final answer
    x = 3,383.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.