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Finding the Third Proportional to 366.40 and 557.19

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Solution

The third proportional to 366.40 and 557.19 is: 847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.40 : 557.19 = 557.19 : x
  2. Step 2: Convert to fraction form
    366.40/557.19 = 557.19/x
  3. Step 3: Cross multiply
    366.40x = 557.19 × 557.19
  4. Step 4: Simplify right side
    366.40x = 310,462.26
  5. Step 5: Solve for x
    x = 310,462.26/366.40
  6. Step 6: Final answer
    x = 847.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.