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Finding the Third Proportional to 847.25 and 1,322.94

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Solution

The third proportional to 847.25 and 1,322.94 is: 2,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.25 : 1,322.94 = 1,322.94 : x
  2. Step 2: Convert to fraction form
    847.25/1,322.94 = 1,322.94/x
  3. Step 3: Cross multiply
    847.25x = 1,322.94 × 1,322.94
  4. Step 4: Simplify right side
    847.25x = 1,750,163.63
  5. Step 5: Solve for x
    x = 1,750,163.63/847.25
  6. Step 6: Final answer
    x = 2,065.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.