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Finding the Third Proportional to 380.57 and 570.90

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Solution

The third proportional to 380.57 and 570.90 is: 856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.57 : 570.90 = 570.90 : x
  2. Step 2: Convert to fraction form
    380.57/570.90 = 570.90/x
  3. Step 3: Cross multiply
    380.57x = 570.90 × 570.90
  4. Step 4: Simplify right side
    380.57x = 325,929.49
  5. Step 5: Solve for x
    x = 325,929.49/380.57
  6. Step 6: Final answer
    x = 856.43

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