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Finding the Third Proportional to 575.86 and 811.27

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Solution

The third proportional to 575.86 and 811.27 is: 1,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.86 : 811.27 = 811.27 : x
  2. Step 2: Convert to fraction form
    575.86/811.27 = 811.27/x
  3. Step 3: Cross multiply
    575.86x = 811.27 × 811.27
  4. Step 4: Simplify right side
    575.86x = 658,151.91
  5. Step 5: Solve for x
    x = 658,151.91/575.86
  6. Step 6: Final answer
    x = 1,142.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.