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Finding the Third Proportional to 744.44 and 1,632.88

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Solution

The third proportional to 744.44 and 1,632.88 is: 3,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.44 : 1,632.88 = 1,632.88 : x
  2. Step 2: Convert to fraction form
    744.44/1,632.88 = 1,632.88/x
  3. Step 3: Cross multiply
    744.44x = 1,632.88 × 1,632.88
  4. Step 4: Simplify right side
    744.44x = 2,666,280.77
  5. Step 5: Solve for x
    x = 2,666,280.77/744.44
  6. Step 6: Final answer
    x = 3,581.60

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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.