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Finding the Third Proportional to 360.38 and 857.63

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Solution

The third proportional to 360.38 and 857.63 is: 2,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.38 : 857.63 = 857.63 : x
  2. Step 2: Convert to fraction form
    360.38/857.63 = 857.63/x
  3. Step 3: Cross multiply
    360.38x = 857.63 × 857.63
  4. Step 4: Simplify right side
    360.38x = 735,520.64
  5. Step 5: Solve for x
    x = 735,520.64/360.38
  6. Step 6: Final answer
    x = 2,040.99

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.