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Finding the Third Proportional to 813.94 and 1,297.41

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Solution

The third proportional to 813.94 and 1,297.41 is: 2,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.94 : 1,297.41 = 1,297.41 : x
  2. Step 2: Convert to fraction form
    813.94/1,297.41 = 1,297.41/x
  3. Step 3: Cross multiply
    813.94x = 1,297.41 × 1,297.41
  4. Step 4: Simplify right side
    813.94x = 1,683,262.98
  5. Step 5: Solve for x
    x = 1,683,262.98/813.94
  6. Step 6: Final answer
    x = 2,068.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.