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Finding the Third Proportional to 548,504 and 828,600

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Solution

The third proportional to 548,504 and 828,600 is: 1,251,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,504 : 828,600 = 828,600 : x
  2. Step 2: Convert to fraction form
    548,504/828,600 = 828,600/x
  3. Step 3: Cross multiply
    548,504x = 828,600 × 828,600
  4. Step 4: Simplify right side
    548,504x = 686,577,960,000
  5. Step 5: Solve for x
    x = 686,577,960,000/548,504
  6. Step 6: Final answer
    x = 1,251,728.26

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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.