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Finding the Third Proportional to 410.86 and 886.60

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Solution

The third proportional to 410.86 and 886.60 is: 1,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.86 : 886.60 = 886.60 : x
  2. Step 2: Convert to fraction form
    410.86/886.60 = 886.60/x
  3. Step 3: Cross multiply
    410.86x = 886.60 × 886.60
  4. Step 4: Simplify right side
    410.86x = 786,059.52
  5. Step 5: Solve for x
    x = 786,059.52/410.86
  6. Step 6: Final answer
    x = 1,913.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.