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Finding the Third Proportional to 275.06 and 601.44

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Solution

The third proportional to 275.06 and 601.44 is: 1,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 601.44 = 601.44 : x
  2. Step 2: Convert to fraction form
    275.06/601.44 = 601.44/x
  3. Step 3: Cross multiply
    275.06x = 601.44 × 601.44
  4. Step 4: Simplify right side
    275.06x = 361,727.07
  5. Step 5: Solve for x
    x = 361,727.07/275.06
  6. Step 6: Final answer
    x = 1,315.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.