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Finding the Third Proportional to 689.34 and 1,508.63

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Solution

The third proportional to 689.34 and 1,508.63 is: 3,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.34 : 1,508.63 = 1,508.63 : x
  2. Step 2: Convert to fraction form
    689.34/1,508.63 = 1,508.63/x
  3. Step 3: Cross multiply
    689.34x = 1,508.63 × 1,508.63
  4. Step 4: Simplify right side
    689.34x = 2,275,949.39
  5. Step 5: Solve for x
    x = 2,275,949.39/689.34
  6. Step 6: Final answer
    x = 3,301.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.