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Finding the Third Proportional to 747.69 and 1,624.94

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Solution

The third proportional to 747.69 and 1,624.94 is: 3,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.69 : 1,624.94 = 1,624.94 : x
  2. Step 2: Convert to fraction form
    747.69/1,624.94 = 1,624.94/x
  3. Step 3: Cross multiply
    747.69x = 1,624.94 × 1,624.94
  4. Step 4: Simplify right side
    747.69x = 2,640,442.51
  5. Step 5: Solve for x
    x = 2,640,442.51/747.69
  6. Step 6: Final answer
    x = 3,531.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.