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Finding the Third Proportional to 535.20 and 854.77

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Solution

The third proportional to 535.20 and 854.77 is: 1,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 854.77 = 854.77 : x
  2. Step 2: Convert to fraction form
    535.20/854.77 = 854.77/x
  3. Step 3: Cross multiply
    535.20x = 854.77 × 854.77
  4. Step 4: Simplify right side
    535.20x = 730,634.29
  5. Step 5: Solve for x
    x = 730,634.29/535.20
  6. Step 6: Final answer
    x = 1,365.16

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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.