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Finding the Third Proportional to 392.75 and 592.25

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Solution

The third proportional to 392.75 and 592.25 is: 893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 592.25 = 592.25 : x
  2. Step 2: Convert to fraction form
    392.75/592.25 = 592.25/x
  3. Step 3: Cross multiply
    392.75x = 592.25 × 592.25
  4. Step 4: Simplify right side
    392.75x = 350,760.06
  5. Step 5: Solve for x
    x = 350,760.06/392.75
  6. Step 6: Final answer
    x = 893.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.