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Finding the Third Proportional to 392,419 and 831,532

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Solution

The third proportional to 392,419 and 831,532 is: 1,762,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,419 : 831,532 = 831,532 : x
  2. Step 2: Convert to fraction form
    392,419/831,532 = 831,532/x
  3. Step 3: Cross multiply
    392,419x = 831,532 × 831,532
  4. Step 4: Simplify right side
    392,419x = 691,445,467,024
  5. Step 5: Solve for x
    x = 691,445,467,024/392,419
  6. Step 6: Final answer
    x = 1,762,008.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.