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Finding the Third Proportional to 510.75 and 828.19

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Solution

The third proportional to 510.75 and 828.19 is: 1,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 828.19 = 828.19 : x
  2. Step 2: Convert to fraction form
    510.75/828.19 = 828.19/x
  3. Step 3: Cross multiply
    510.75x = 828.19 × 828.19
  4. Step 4: Simplify right side
    510.75x = 685,894.54
  5. Step 5: Solve for x
    x = 685,894.54/510.75
  6. Step 6: Final answer
    x = 1,342.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.