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Finding the Third Proportional to 380.16 and 595.87

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Solution

The third proportional to 380.16 and 595.87 is: 933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 595.87 = 595.87 : x
  2. Step 2: Convert to fraction form
    380.16/595.87 = 595.87/x
  3. Step 3: Cross multiply
    380.16x = 595.87 × 595.87
  4. Step 4: Simplify right side
    380.16x = 355,063.52
  5. Step 5: Solve for x
    x = 355,063.52/380.16
  6. Step 6: Final answer
    x = 933.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.