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Finding the Third Proportional to 514.13 and 795.94

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Solution

The third proportional to 514.13 and 795.94 is: 1,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 795.94 = 795.94 : x
  2. Step 2: Convert to fraction form
    514.13/795.94 = 795.94/x
  3. Step 3: Cross multiply
    514.13x = 795.94 × 795.94
  4. Step 4: Simplify right side
    514.13x = 633,516.50
  5. Step 5: Solve for x
    x = 633,516.50/514.13
  6. Step 6: Final answer
    x = 1,232.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.