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Finding the Third Proportional to 510,909 and 773,439

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Solution

The third proportional to 510,909 and 773,439 is: 1,170,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,909 : 773,439 = 773,439 : x
  2. Step 2: Convert to fraction form
    510,909/773,439 = 773,439/x
  3. Step 3: Cross multiply
    510,909x = 773,439 × 773,439
  4. Step 4: Simplify right side
    510,909x = 598,207,886,721
  5. Step 5: Solve for x
    x = 598,207,886,721/510,909
  6. Step 6: Final answer
    x = 1,170,869.74

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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.