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Finding the Third Proportional to 510,828 and 773,352

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Solution

The third proportional to 510,828 and 773,352 is: 1,170,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,828 : 773,352 = 773,352 : x
  2. Step 2: Convert to fraction form
    510,828/773,352 = 773,352/x
  3. Step 3: Cross multiply
    510,828x = 773,352 × 773,352
  4. Step 4: Simplify right side
    510,828x = 598,073,315,904
  5. Step 5: Solve for x
    x = 598,073,315,904/510,828
  6. Step 6: Final answer
    x = 1,170,791.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.