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Finding the Third Proportional to 386.94 and 599.56

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Solution

The third proportional to 386.94 and 599.56 is: 929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.94 : 599.56 = 599.56 : x
  2. Step 2: Convert to fraction form
    386.94/599.56 = 599.56/x
  3. Step 3: Cross multiply
    386.94x = 599.56 × 599.56
  4. Step 4: Simplify right side
    386.94x = 359,475.19
  5. Step 5: Solve for x
    x = 359,475.19/386.94
  6. Step 6: Final answer
    x = 929.03

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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.