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Finding the Third Proportional to 548,512 and 828,616

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Solution

The third proportional to 548,512 and 828,616 is: 1,251,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,512 : 828,616 = 828,616 : x
  2. Step 2: Convert to fraction form
    548,512/828,616 = 828,616/x
  3. Step 3: Cross multiply
    548,512x = 828,616 × 828,616
  4. Step 4: Simplify right side
    548,512x = 686,604,475,456
  5. Step 5: Solve for x
    x = 686,604,475,456/548,512
  6. Step 6: Final answer
    x = 1,251,758.35

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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.