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Finding the Third Proportional to 358.80 and 746.09

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Solution

The third proportional to 358.80 and 746.09 is: 1,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 746.09 = 746.09 : x
  2. Step 2: Convert to fraction form
    358.80/746.09 = 746.09/x
  3. Step 3: Cross multiply
    358.80x = 746.09 × 746.09
  4. Step 4: Simplify right side
    358.80x = 556,644.23
  5. Step 5: Solve for x
    x = 556,644.23/358.80
  6. Step 6: Final answer
    x = 1,551.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.