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Finding the Third Proportional to 897.54 and 1,347.26

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Solution

The third proportional to 897.54 and 1,347.26 is: 2,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.54 : 1,347.26 = 1,347.26 : x
  2. Step 2: Convert to fraction form
    897.54/1,347.26 = 1,347.26/x
  3. Step 3: Cross multiply
    897.54x = 1,347.26 × 1,347.26
  4. Step 4: Simplify right side
    897.54x = 1,815,103.61
  5. Step 5: Solve for x
    x = 1,815,103.61/897.54
  6. Step 6: Final answer
    x = 2,022.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.