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Finding the Third Proportional to 881.34 and 1,394.63

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Solution

The third proportional to 881.34 and 1,394.63 is: 2,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.34 : 1,394.63 = 1,394.63 : x
  2. Step 2: Convert to fraction form
    881.34/1,394.63 = 1,394.63/x
  3. Step 3: Cross multiply
    881.34x = 1,394.63 × 1,394.63
  4. Step 4: Simplify right side
    881.34x = 1,944,978.89
  5. Step 5: Solve for x
    x = 1,944,978.89/881.34
  6. Step 6: Final answer
    x = 2,206.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.