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Finding the Third Proportional to 343.50 and 528.38

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Solution

The third proportional to 343.50 and 528.38 is: 812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 528.38 = 528.38 : x
  2. Step 2: Convert to fraction form
    343.50/528.38 = 528.38/x
  3. Step 3: Cross multiply
    343.50x = 528.38 × 528.38
  4. Step 4: Simplify right side
    343.50x = 279,180.14
  5. Step 5: Solve for x
    x = 279,180.14/343.50
  6. Step 6: Final answer
    x = 812.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.