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Finding the Third Proportional to 374.81 and 581.44

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Solution

The third proportional to 374.81 and 581.44 is: 901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.81 : 581.44 = 581.44 : x
  2. Step 2: Convert to fraction form
    374.81/581.44 = 581.44/x
  3. Step 3: Cross multiply
    374.81x = 581.44 × 581.44
  4. Step 4: Simplify right side
    374.81x = 338,069.57
  5. Step 5: Solve for x
    x = 338,069.57/374.81
  6. Step 6: Final answer
    x = 901.97

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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.