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Finding the Third Proportional to 582.94 and 1,336.88

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Solution

The third proportional to 582.94 and 1,336.88 is: 3,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.94 : 1,336.88 = 1,336.88 : x
  2. Step 2: Convert to fraction form
    582.94/1,336.88 = 1,336.88/x
  3. Step 3: Cross multiply
    582.94x = 1,336.88 × 1,336.88
  4. Step 4: Simplify right side
    582.94x = 1,787,234.77
  5. Step 5: Solve for x
    x = 1,787,234.77/582.94
  6. Step 6: Final answer
    x = 3,065.91

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.