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Finding the Third Proportional to 513.94 and 756.84

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Solution

The third proportional to 513.94 and 756.84 is: 1,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.94 : 756.84 = 756.84 : x
  2. Step 2: Convert to fraction form
    513.94/756.84 = 756.84/x
  3. Step 3: Cross multiply
    513.94x = 756.84 × 756.84
  4. Step 4: Simplify right side
    513.94x = 572,812.46
  5. Step 5: Solve for x
    x = 572,812.46/513.94
  6. Step 6: Final answer
    x = 1,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.