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Finding the Third Proportional to 392,202 and 828,468

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Solution

The third proportional to 392,202 and 828,468 is: 1,750,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,202 : 828,468 = 828,468 : x
  2. Step 2: Convert to fraction form
    392,202/828,468 = 828,468/x
  3. Step 3: Cross multiply
    392,202x = 828,468 × 828,468
  4. Step 4: Simplify right side
    392,202x = 686,359,227,024
  5. Step 5: Solve for x
    x = 686,359,227,024/392,202
  6. Step 6: Final answer
    x = 1,750,014.60

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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.