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Finding the Third Proportional to 699.84 and 1,525.31

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Solution

The third proportional to 699.84 and 1,525.31 is: 3,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.84 : 1,525.31 = 1,525.31 : x
  2. Step 2: Convert to fraction form
    699.84/1,525.31 = 1,525.31/x
  3. Step 3: Cross multiply
    699.84x = 1,525.31 × 1,525.31
  4. Step 4: Simplify right side
    699.84x = 2,326,578.22
  5. Step 5: Solve for x
    x = 2,326,578.22/699.84
  6. Step 6: Final answer
    x = 3,324.43

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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.