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Finding the Third Proportional to 262.88 and 558.94

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Solution

The third proportional to 262.88 and 558.94 is: 1,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.88 : 558.94 = 558.94 : x
  2. Step 2: Convert to fraction form
    262.88/558.94 = 558.94/x
  3. Step 3: Cross multiply
    262.88x = 558.94 × 558.94
  4. Step 4: Simplify right side
    262.88x = 312,411.13
  5. Step 5: Solve for x
    x = 312,411.13/262.88
  6. Step 6: Final answer
    x = 1,188.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.