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Finding the Third Proportional to 519,370 and 782,474

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Solution

The third proportional to 519,370 and 782,474 is: 1,178,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,370 : 782,474 = 782,474 : x
  2. Step 2: Convert to fraction form
    519,370/782,474 = 782,474/x
  3. Step 3: Cross multiply
    519,370x = 782,474 × 782,474
  4. Step 4: Simplify right side
    519,370x = 612,265,560,676
  5. Step 5: Solve for x
    x = 612,265,560,676/519,370
  6. Step 6: Final answer
    x = 1,178,862.01

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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.