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Finding the Third Proportional to 594.42 and 648.42

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Solution

The third proportional to 594.42 and 648.42 is: 707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.42 : 648.42 = 648.42 : x
  2. Step 2: Convert to fraction form
    594.42/648.42 = 648.42/x
  3. Step 3: Cross multiply
    594.42x = 648.42 × 648.42
  4. Step 4: Simplify right side
    594.42x = 420,450.93
  5. Step 5: Solve for x
    x = 420,450.93/594.42
  6. Step 6: Final answer
    x = 707.33

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.