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Finding the Third Proportional to 521.44 and 594.84

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Solution

The third proportional to 521.44 and 594.84 is: 678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 594.84 = 594.84 : x
  2. Step 2: Convert to fraction form
    521.44/594.84 = 594.84/x
  3. Step 3: Cross multiply
    521.44x = 594.84 × 594.84
  4. Step 4: Simplify right side
    521.44x = 353,839.09
  5. Step 5: Solve for x
    x = 353,839.09/521.44
  6. Step 6: Final answer
    x = 678.58

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.