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Finding the Third Proportional to 285.94 and 594.19

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Solution

The third proportional to 285.94 and 594.19 is: 1,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.94 : 594.19 = 594.19 : x
  2. Step 2: Convert to fraction form
    285.94/594.19 = 594.19/x
  3. Step 3: Cross multiply
    285.94x = 594.19 × 594.19
  4. Step 4: Simplify right side
    285.94x = 353,058.79
  5. Step 5: Solve for x
    x = 353,058.79/285.94
  6. Step 6: Final answer
    x = 1,234.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.