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Finding the Third Proportional to 584.91 and 1,260.94

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Solution

The third proportional to 584.91 and 1,260.94 is: 2,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.91 : 1,260.94 = 1,260.94 : x
  2. Step 2: Convert to fraction form
    584.91/1,260.94 = 1,260.94/x
  3. Step 3: Cross multiply
    584.91x = 1,260.94 × 1,260.94
  4. Step 4: Simplify right side
    584.91x = 1,589,963.38
  5. Step 5: Solve for x
    x = 1,589,963.38/584.91
  6. Step 6: Final answer
    x = 2,718.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.