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Finding the Third Proportional to 358.80 and 522.19

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Solution

The third proportional to 358.80 and 522.19 is: 759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 522.19 = 522.19 : x
  2. Step 2: Convert to fraction form
    358.80/522.19 = 522.19/x
  3. Step 3: Cross multiply
    358.80x = 522.19 × 522.19
  4. Step 4: Simplify right side
    358.80x = 272,681.32
  5. Step 5: Solve for x
    x = 272,681.32/358.80
  6. Step 6: Final answer
    x = 759.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.