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Finding the Third Proportional to 886.60 and 1,416.40

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Solution

The third proportional to 886.60 and 1,416.40 is: 2,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.60 : 1,416.40 = 1,416.40 : x
  2. Step 2: Convert to fraction form
    886.60/1,416.40 = 1,416.40/x
  3. Step 3: Cross multiply
    886.60x = 1,416.40 × 1,416.40
  4. Step 4: Simplify right side
    886.60x = 2,006,181.94
  5. Step 5: Solve for x
    x = 2,006,181.94/886.60
  6. Step 6: Final answer
    x = 2,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.