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Finding the Third Proportional to 264.66 and 589.88

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Solution

The third proportional to 264.66 and 589.88 is: 1,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.66 : 589.88 = 589.88 : x
  2. Step 2: Convert to fraction form
    264.66/589.88 = 589.88/x
  3. Step 3: Cross multiply
    264.66x = 589.88 × 589.88
  4. Step 4: Simplify right side
    264.66x = 347,952.52
  5. Step 5: Solve for x
    x = 347,952.52/264.66
  6. Step 6: Final answer
    x = 1,314.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.