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Finding the Third Proportional to 350.42 and 498.26

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Solution

The third proportional to 350.42 and 498.26 is: 708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.42 : 498.26 = 498.26 : x
  2. Step 2: Convert to fraction form
    350.42/498.26 = 498.26/x
  3. Step 3: Cross multiply
    350.42x = 498.26 × 498.26
  4. Step 4: Simplify right side
    350.42x = 248,263.77
  5. Step 5: Solve for x
    x = 248,263.77/350.42
  6. Step 6: Final answer
    x = 708.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.