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Finding the Third Proportional to 820.13 and 842.91

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Solution

The third proportional to 820.13 and 842.91 is: 866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 842.91 = 842.91 : x
  2. Step 2: Convert to fraction form
    820.13/842.91 = 842.91/x
  3. Step 3: Cross multiply
    820.13x = 842.91 × 842.91
  4. Step 4: Simplify right side
    820.13x = 710,490.95
  5. Step 5: Solve for x
    x = 710,490.95/820.13
  6. Step 6: Final answer
    x = 866.32

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.