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Finding the Third Proportional to 889.89 and 1,327.48

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Solution

The third proportional to 889.89 and 1,327.48 is: 1,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.89 : 1,327.48 = 1,327.48 : x
  2. Step 2: Convert to fraction form
    889.89/1,327.48 = 1,327.48/x
  3. Step 3: Cross multiply
    889.89x = 1,327.48 × 1,327.48
  4. Step 4: Simplify right side
    889.89x = 1,762,209.58
  5. Step 5: Solve for x
    x = 1,762,209.58/889.89
  6. Step 6: Final answer
    x = 1,980.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.