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Finding the Third Proportional to 392.81 and 594.19

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Solution

The third proportional to 392.81 and 594.19 is: 898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.81 : 594.19 = 594.19 : x
  2. Step 2: Convert to fraction form
    392.81/594.19 = 594.19/x
  3. Step 3: Cross multiply
    392.81x = 594.19 × 594.19
  4. Step 4: Simplify right side
    392.81x = 353,058.79
  5. Step 5: Solve for x
    x = 353,058.79/392.81
  6. Step 6: Final answer
    x = 898.80

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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.