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Finding the Third Proportional to 514.10 and 827.93

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Solution

The third proportional to 514.10 and 827.93 is: 1,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.10 : 827.93 = 827.93 : x
  2. Step 2: Convert to fraction form
    514.10/827.93 = 827.93/x
  3. Step 3: Cross multiply
    514.10x = 827.93 × 827.93
  4. Step 4: Simplify right side
    514.10x = 685,462.11
  5. Step 5: Solve for x
    x = 685,462.11/514.10
  6. Step 6: Final answer
    x = 1,333.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.