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Finding the Third Proportional to 805.88 and 1,293.94

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Solution

The third proportional to 805.88 and 1,293.94 is: 2,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.88 : 1,293.94 = 1,293.94 : x
  2. Step 2: Convert to fraction form
    805.88/1,293.94 = 1,293.94/x
  3. Step 3: Cross multiply
    805.88x = 1,293.94 × 1,293.94
  4. Step 4: Simplify right side
    805.88x = 1,674,274.25
  5. Step 5: Solve for x
    x = 1,674,274.25/805.88
  6. Step 6: Final answer
    x = 2,077.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.