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Finding the Third Proportional to 920.25 and 1,382.63

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Solution

The third proportional to 920.25 and 1,382.63 is: 2,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.25 : 1,382.63 = 1,382.63 : x
  2. Step 2: Convert to fraction form
    920.25/1,382.63 = 1,382.63/x
  3. Step 3: Cross multiply
    920.25x = 1,382.63 × 1,382.63
  4. Step 4: Simplify right side
    920.25x = 1,911,651.89
  5. Step 5: Solve for x
    x = 1,911,651.89/920.25
  6. Step 6: Final answer
    x = 2,077.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.