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Finding the Third Proportional to 510,816 and 773,334

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Solution

The third proportional to 510,816 and 773,334 is: 1,170,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,816 : 773,334 = 773,334 : x
  2. Step 2: Convert to fraction form
    510,816/773,334 = 773,334/x
  3. Step 3: Cross multiply
    510,816x = 773,334 × 773,334
  4. Step 4: Simplify right side
    510,816x = 598,045,475,556
  5. Step 5: Solve for x
    x = 598,045,475,556/510,816
  6. Step 6: Final answer
    x = 1,170,764.96

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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.