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Finding the Third Proportional to 380.16 and 570.66

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Solution

The third proportional to 380.16 and 570.66 is: 856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 570.66 = 570.66 : x
  2. Step 2: Convert to fraction form
    380.16/570.66 = 570.66/x
  3. Step 3: Cross multiply
    380.16x = 570.66 × 570.66
  4. Step 4: Simplify right side
    380.16x = 325,648.56
  5. Step 5: Solve for x
    x = 325,648.56/380.16
  6. Step 6: Final answer
    x = 856.62

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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.