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Finding the Third Proportional to 734.70 and 1,584.72

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Solution

The third proportional to 734.70 and 1,584.72 is: 3,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.70 : 1,584.72 = 1,584.72 : x
  2. Step 2: Convert to fraction form
    734.70/1,584.72 = 1,584.72/x
  3. Step 3: Cross multiply
    734.70x = 1,584.72 × 1,584.72
  4. Step 4: Simplify right side
    734.70x = 2,511,339.71
  5. Step 5: Solve for x
    x = 2,511,339.71/734.70
  6. Step 6: Final answer
    x = 3,418.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.