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Finding the Third Proportional to 510.13 and 792.38

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Solution

The third proportional to 510.13 and 792.38 is: 1,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.13 : 792.38 = 792.38 : x
  2. Step 2: Convert to fraction form
    510.13/792.38 = 792.38/x
  3. Step 3: Cross multiply
    510.13x = 792.38 × 792.38
  4. Step 4: Simplify right side
    510.13x = 627,858.14
  5. Step 5: Solve for x
    x = 627,858.14/510.13
  6. Step 6: Final answer
    x = 1,230.79

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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.