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Finding the Third Proportional to 297.74 and 687.80

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Solution

The third proportional to 297.74 and 687.80 is: 1,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.74 : 687.80 = 687.80 : x
  2. Step 2: Convert to fraction form
    297.74/687.80 = 687.80/x
  3. Step 3: Cross multiply
    297.74x = 687.80 × 687.80
  4. Step 4: Simplify right side
    297.74x = 473,064.54
  5. Step 5: Solve for x
    x = 473,064.54/297.74
  6. Step 6: Final answer
    x = 1,588.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.