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Finding the Third Proportional to 391.08 and 585.67

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Solution

The third proportional to 391.08 and 585.67 is: 877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.08 : 585.67 = 585.67 : x
  2. Step 2: Convert to fraction form
    391.08/585.67 = 585.67/x
  3. Step 3: Cross multiply
    391.08x = 585.67 × 585.67
  4. Step 4: Simplify right side
    391.08x = 343,006.97
  5. Step 5: Solve for x
    x = 343,006.97/391.08
  6. Step 6: Final answer
    x = 877.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.