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Finding the Third Proportional to 893.43 and 1,346.73

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Solution

The third proportional to 893.43 and 1,346.73 is: 2,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.43 : 1,346.73 = 1,346.73 : x
  2. Step 2: Convert to fraction form
    893.43/1,346.73 = 1,346.73/x
  3. Step 3: Cross multiply
    893.43x = 1,346.73 × 1,346.73
  4. Step 4: Simplify right side
    893.43x = 1,813,682.96
  5. Step 5: Solve for x
    x = 1,813,682.96/893.43
  6. Step 6: Final answer
    x = 2,030.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.