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Finding the Third Proportional to 690.24 and 1,498.18

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Solution

The third proportional to 690.24 and 1,498.18 is: 3,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.24 : 1,498.18 = 1,498.18 : x
  2. Step 2: Convert to fraction form
    690.24/1,498.18 = 1,498.18/x
  3. Step 3: Cross multiply
    690.24x = 1,498.18 × 1,498.18
  4. Step 4: Simplify right side
    690.24x = 2,244,554.08
  5. Step 5: Solve for x
    x = 2,244,554.08/690.24
  6. Step 6: Final answer
    x = 3,251.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.