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Finding the Third Proportional to 520.17 and 761.27

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Solution

The third proportional to 520.17 and 761.27 is: 1,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 761.27 = 761.27 : x
  2. Step 2: Convert to fraction form
    520.17/761.27 = 761.27/x
  3. Step 3: Cross multiply
    520.17x = 761.27 × 761.27
  4. Step 4: Simplify right side
    520.17x = 579,537.25
  5. Step 5: Solve for x
    x = 579,537.25/520.17
  6. Step 6: Final answer
    x = 1,114.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.