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Finding the Third Proportional to 340.50 and 828.38

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Solution

The third proportional to 340.50 and 828.38 is: 2,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 828.38 = 828.38 : x
  2. Step 2: Convert to fraction form
    340.50/828.38 = 828.38/x
  3. Step 3: Cross multiply
    340.50x = 828.38 × 828.38
  4. Step 4: Simplify right side
    340.50x = 686,205.14
  5. Step 5: Solve for x
    x = 686,205.14/340.50
  6. Step 6: Final answer
    x = 2,015.29

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.