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Finding the Third Proportional to 548,524 and 828,634

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Solution

The third proportional to 548,524 and 828,634 is: 1,251,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,524 : 828,634 = 828,634 : x
  2. Step 2: Convert to fraction form
    548,524/828,634 = 828,634/x
  3. Step 3: Cross multiply
    548,524x = 828,634 × 828,634
  4. Step 4: Simplify right side
    548,524x = 686,634,305,956
  5. Step 5: Solve for x
    x = 686,634,305,956/548,524
  6. Step 6: Final answer
    x = 1,251,785.35

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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.