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Finding the Third Proportional to 378.56 and 594.84

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Solution

The third proportional to 378.56 and 594.84 is: 934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.56 : 594.84 = 594.84 : x
  2. Step 2: Convert to fraction form
    378.56/594.84 = 594.84/x
  3. Step 3: Cross multiply
    378.56x = 594.84 × 594.84
  4. Step 4: Simplify right side
    378.56x = 353,839.09
  5. Step 5: Solve for x
    x = 353,839.09/378.56
  6. Step 6: Final answer
    x = 934.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.