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Finding the Third Proportional to 628.44 and 901.84

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Solution

The third proportional to 628.44 and 901.84 is: 1,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.44 : 901.84 = 901.84 : x
  2. Step 2: Convert to fraction form
    628.44/901.84 = 901.84/x
  3. Step 3: Cross multiply
    628.44x = 901.84 × 901.84
  4. Step 4: Simplify right side
    628.44x = 813,322.15
  5. Step 5: Solve for x
    x = 813,322.15/628.44
  6. Step 6: Final answer
    x = 1,294.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.