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Finding the Third Proportional to 410.70 and 889.73

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Solution

The third proportional to 410.70 and 889.73 is: 1,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.70 : 889.73 = 889.73 : x
  2. Step 2: Convert to fraction form
    410.70/889.73 = 889.73/x
  3. Step 3: Cross multiply
    410.70x = 889.73 × 889.73
  4. Step 4: Simplify right side
    410.70x = 791,627.26
  5. Step 5: Solve for x
    x = 791,627.26/410.70
  6. Step 6: Final answer
    x = 1,927.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.