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Finding the Third Proportional to 628.22 and 1,378.03

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Solution

The third proportional to 628.22 and 1,378.03 is: 3,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.22 : 1,378.03 = 1,378.03 : x
  2. Step 2: Convert to fraction form
    628.22/1,378.03 = 1,378.03/x
  3. Step 3: Cross multiply
    628.22x = 1,378.03 × 1,378.03
  4. Step 4: Simplify right side
    628.22x = 1,898,970.13
  5. Step 5: Solve for x
    x = 1,898,970.13/628.22
  6. Step 6: Final answer
    x = 3,022.78

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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.