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Finding the Third Proportional to 258.19 and 578.81

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Solution

The third proportional to 258.19 and 578.81 is: 1,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 578.81 = 578.81 : x
  2. Step 2: Convert to fraction form
    258.19/578.81 = 578.81/x
  3. Step 3: Cross multiply
    258.19x = 578.81 × 578.81
  4. Step 4: Simplify right side
    258.19x = 335,023.91
  5. Step 5: Solve for x
    x = 335,023.91/258.19
  6. Step 6: Final answer
    x = 1,297.60

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.