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Finding the Third Proportional to 585.91 and 908.40

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Solution

The third proportional to 585.91 and 908.40 is: 1,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.91 : 908.40 = 908.40 : x
  2. Step 2: Convert to fraction form
    585.91/908.40 = 908.40/x
  3. Step 3: Cross multiply
    585.91x = 908.40 × 908.40
  4. Step 4: Simplify right side
    585.91x = 825,194.82
  5. Step 5: Solve for x
    x = 825,194.82/585.91
  6. Step 6: Final answer
    x = 1,408.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.