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Finding the Third Proportional to 510,732 and 773,199

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Solution

The third proportional to 510,732 and 773,199 is: 1,170,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,732 : 773,199 = 773,199 : x
  2. Step 2: Convert to fraction form
    510,732/773,199 = 773,199/x
  3. Step 3: Cross multiply
    510,732x = 773,199 × 773,199
  4. Step 4: Simplify right side
    510,732x = 597,836,693,601
  5. Step 5: Solve for x
    x = 597,836,693,601/510,732
  6. Step 6: Final answer
    x = 1,170,548.73

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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.