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Finding the Third Proportional to 578.07 and 919.79

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Solution

The third proportional to 578.07 and 919.79 is: 1,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.07 : 919.79 = 919.79 : x
  2. Step 2: Convert to fraction form
    578.07/919.79 = 919.79/x
  3. Step 3: Cross multiply
    578.07x = 919.79 × 919.79
  4. Step 4: Simplify right side
    578.07x = 846,019.11
  5. Step 5: Solve for x
    x = 846,019.11/578.07
  6. Step 6: Final answer
    x = 1,463.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.