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Finding the Third Proportional to 622.41 and 872.30

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Solution

The third proportional to 622.41 and 872.30 is: 1,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.41 : 872.30 = 872.30 : x
  2. Step 2: Convert to fraction form
    622.41/872.30 = 872.30/x
  3. Step 3: Cross multiply
    622.41x = 872.30 × 872.30
  4. Step 4: Simplify right side
    622.41x = 760,901.84
  5. Step 5: Solve for x
    x = 760,901.84/622.41
  6. Step 6: Final answer
    x = 1,222.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.