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Finding the Third Proportional to 689.77 and 1,526.34

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Solution

The third proportional to 689.77 and 1,526.34 is: 3,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 1,526.34 = 1,526.34 : x
  2. Step 2: Convert to fraction form
    689.77/1,526.34 = 1,526.34/x
  3. Step 3: Cross multiply
    689.77x = 1,526.34 × 1,526.34
  4. Step 4: Simplify right side
    689.77x = 2,329,725.24
  5. Step 5: Solve for x
    x = 2,329,725.24/689.77
  6. Step 6: Final answer
    x = 3,377.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.