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Finding the Third Proportional to 548,562 and 828,687

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Solution

The third proportional to 548,562 and 828,687 is: 1,251,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,562 : 828,687 = 828,687 : x
  2. Step 2: Convert to fraction form
    548,562/828,687 = 828,687/x
  3. Step 3: Cross multiply
    548,562x = 828,687 × 828,687
  4. Step 4: Simplify right side
    548,562x = 686,722,143,969
  5. Step 5: Solve for x
    x = 686,722,143,969/548,562
  6. Step 6: Final answer
    x = 1,251,858.76

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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.