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Finding the Third Proportional to 633.45 and 1,364.98

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Solution

The third proportional to 633.45 and 1,364.98 is: 2,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.45 : 1,364.98 = 1,364.98 : x
  2. Step 2: Convert to fraction form
    633.45/1,364.98 = 1,364.98/x
  3. Step 3: Cross multiply
    633.45x = 1,364.98 × 1,364.98
  4. Step 4: Simplify right side
    633.45x = 1,863,161.02
  5. Step 5: Solve for x
    x = 1,863,161.02/633.45
  6. Step 6: Final answer
    x = 2,941.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.