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Finding the Third Proportional to 377.95 and 824.08

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Solution

The third proportional to 377.95 and 824.08 is: 1,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.95 : 824.08 = 824.08 : x
  2. Step 2: Convert to fraction form
    377.95/824.08 = 824.08/x
  3. Step 3: Cross multiply
    377.95x = 824.08 × 824.08
  4. Step 4: Simplify right side
    377.95x = 679,107.98
  5. Step 5: Solve for x
    x = 679,107.98/377.95
  6. Step 6: Final answer
    x = 1,796.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.