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Finding the Third Proportional to 601.03 and 1,310.91

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Solution

The third proportional to 601.03 and 1,310.91 is: 2,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.03 : 1,310.91 = 1,310.91 : x
  2. Step 2: Convert to fraction form
    601.03/1,310.91 = 1,310.91/x
  3. Step 3: Cross multiply
    601.03x = 1,310.91 × 1,310.91
  4. Step 4: Simplify right side
    601.03x = 1,718,475.20
  5. Step 5: Solve for x
    x = 1,718,475.20/601.03
  6. Step 6: Final answer
    x = 2,859.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.