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Finding the Third Proportional to 699 and 1,521

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Solution

The third proportional to 699 and 1,521 is: 3,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 1,521 = 1,521 : x
  2. Step 2: Convert to fraction form
    699/1,521 = 1,521/x
  3. Step 3: Cross multiply
    699x = 1,521 × 1,521
  4. Step 4: Simplify right side
    699x = 2,313,441
  5. Step 5: Solve for x
    x = 2,313,441/699
  6. Step 6: Final answer
    x = 3,309.64

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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.