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Finding the Third Proportional to 607.29 and 1,297.79

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Solution

The third proportional to 607.29 and 1,297.79 is: 2,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.29 : 1,297.79 = 1,297.79 : x
  2. Step 2: Convert to fraction form
    607.29/1,297.79 = 1,297.79/x
  3. Step 3: Cross multiply
    607.29x = 1,297.79 × 1,297.79
  4. Step 4: Simplify right side
    607.29x = 1,684,266.59
  5. Step 5: Solve for x
    x = 1,684,266.59/607.29
  6. Step 6: Final answer
    x = 2,773.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.