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Finding the Third Proportional to 392,216 and 828,496

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Solution

The third proportional to 392,216 and 828,496 is: 1,750,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,216 : 828,496 = 828,496 : x
  2. Step 2: Convert to fraction form
    392,216/828,496 = 828,496/x
  3. Step 3: Cross multiply
    392,216x = 828,496 × 828,496
  4. Step 4: Simplify right side
    392,216x = 686,405,622,016
  5. Step 5: Solve for x
    x = 686,405,622,016/392,216
  6. Step 6: Final answer
    x = 1,750,070.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.