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Finding the Third Proportional to 334.31 and 828.66

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Solution

The third proportional to 334.31 and 828.66 is: 2,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.31 : 828.66 = 828.66 : x
  2. Step 2: Convert to fraction form
    334.31/828.66 = 828.66/x
  3. Step 3: Cross multiply
    334.31x = 828.66 × 828.66
  4. Step 4: Simplify right side
    334.31x = 686,671.18
  5. Step 5: Solve for x
    x = 686,671.18/334.31
  6. Step 6: Final answer
    x = 2,053.98

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.