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Finding the Third Proportional to 360.19 and 543.94

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Solution

The third proportional to 360.19 and 543.94 is: 821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.19 : 543.94 = 543.94 : x
  2. Step 2: Convert to fraction form
    360.19/543.94 = 543.94/x
  3. Step 3: Cross multiply
    360.19x = 543.94 × 543.94
  4. Step 4: Simplify right side
    360.19x = 295,868.00
  5. Step 5: Solve for x
    x = 295,868.00/360.19
  6. Step 6: Final answer
    x = 821.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.