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Finding the Third Proportional to 336.38 and 698.06

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Solution

The third proportional to 336.38 and 698.06 is: 1,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.38 : 698.06 = 698.06 : x
  2. Step 2: Convert to fraction form
    336.38/698.06 = 698.06/x
  3. Step 3: Cross multiply
    336.38x = 698.06 × 698.06
  4. Step 4: Simplify right side
    336.38x = 487,291.25
  5. Step 5: Solve for x
    x = 487,291.25/336.38
  6. Step 6: Final answer
    x = 1,448.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.