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Finding the Third Proportional to 376.03 and 585.84

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Solution

The third proportional to 376.03 and 585.84 is: 912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.03 : 585.84 = 585.84 : x
  2. Step 2: Convert to fraction form
    376.03/585.84 = 585.84/x
  3. Step 3: Cross multiply
    376.03x = 585.84 × 585.84
  4. Step 4: Simplify right side
    376.03x = 343,212.90
  5. Step 5: Solve for x
    x = 343,212.90/376.03
  6. Step 6: Final answer
    x = 912.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.