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Finding the Third Proportional to 465.38 and 726.56

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Solution

The third proportional to 465.38 and 726.56 is: 1,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.38 : 726.56 = 726.56 : x
  2. Step 2: Convert to fraction form
    465.38/726.56 = 726.56/x
  3. Step 3: Cross multiply
    465.38x = 726.56 × 726.56
  4. Step 4: Simplify right side
    465.38x = 527,893.07
  5. Step 5: Solve for x
    x = 527,893.07/465.38
  6. Step 6: Final answer
    x = 1,134.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.