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Finding the Third Proportional to 834.25 and 1,308.63

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Solution

The third proportional to 834.25 and 1,308.63 is: 2,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.25 : 1,308.63 = 1,308.63 : x
  2. Step 2: Convert to fraction form
    834.25/1,308.63 = 1,308.63/x
  3. Step 3: Cross multiply
    834.25x = 1,308.63 × 1,308.63
  4. Step 4: Simplify right side
    834.25x = 1,712,499.39
  5. Step 5: Solve for x
    x = 1,712,499.39/834.25
  6. Step 6: Final answer
    x = 2,052.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.