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Finding the Third Proportional to 928.69 and 1,411.31

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Solution

The third proportional to 928.69 and 1,411.31 is: 2,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.69 : 1,411.31 = 1,411.31 : x
  2. Step 2: Convert to fraction form
    928.69/1,411.31 = 1,411.31/x
  3. Step 3: Cross multiply
    928.69x = 1,411.31 × 1,411.31
  4. Step 4: Simplify right side
    928.69x = 1,991,802.97
  5. Step 5: Solve for x
    x = 1,991,802.97/928.69
  6. Step 6: Final answer
    x = 2,144.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.