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Finding the Third Proportional to 863.95 and 1,296.79

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Solution

The third proportional to 863.95 and 1,296.79 is: 1,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.95 : 1,296.79 = 1,296.79 : x
  2. Step 2: Convert to fraction form
    863.95/1,296.79 = 1,296.79/x
  3. Step 3: Cross multiply
    863.95x = 1,296.79 × 1,296.79
  4. Step 4: Simplify right side
    863.95x = 1,681,666.94
  5. Step 5: Solve for x
    x = 1,681,666.94/863.95
  6. Step 6: Final answer
    x = 1,946.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.