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Finding the Third Proportional to 601.45 and 1,250.72

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Solution

The third proportional to 601.45 and 1,250.72 is: 2,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.45 : 1,250.72 = 1,250.72 : x
  2. Step 2: Convert to fraction form
    601.45/1,250.72 = 1,250.72/x
  3. Step 3: Cross multiply
    601.45x = 1,250.72 × 1,250.72
  4. Step 4: Simplify right side
    601.45x = 1,564,297.39
  5. Step 5: Solve for x
    x = 1,564,297.39/601.45
  6. Step 6: Final answer
    x = 2,600.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.