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Finding the Third Proportional to 392,323 and 831,724

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Solution

The third proportional to 392,323 and 831,724 is: 1,763,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,323 : 831,724 = 831,724 : x
  2. Step 2: Convert to fraction form
    392,323/831,724 = 831,724/x
  3. Step 3: Cross multiply
    392,323x = 831,724 × 831,724
  4. Step 4: Simplify right side
    392,323x = 691,764,812,176
  5. Step 5: Solve for x
    x = 691,764,812,176/392,323
  6. Step 6: Final answer
    x = 1,763,253.27

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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.