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Finding the Third Proportional to 294.33 and 626.77

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Solution

The third proportional to 294.33 and 626.77 is: 1,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.33 : 626.77 = 626.77 : x
  2. Step 2: Convert to fraction form
    294.33/626.77 = 626.77/x
  3. Step 3: Cross multiply
    294.33x = 626.77 × 626.77
  4. Step 4: Simplify right side
    294.33x = 392,835.15
  5. Step 5: Solve for x
    x = 392,835.15/294.33
  6. Step 6: Final answer
    x = 1,334.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.