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Finding the Third Proportional to 392,324 and 831,729

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Solution

The third proportional to 392,324 and 831,729 is: 1,763,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,324 : 831,729 = 831,729 : x
  2. Step 2: Convert to fraction form
    392,324/831,729 = 831,729/x
  3. Step 3: Cross multiply
    392,324x = 831,729 × 831,729
  4. Step 4: Simplify right side
    392,324x = 691,773,129,441
  5. Step 5: Solve for x
    x = 691,773,129,441/392,324
  6. Step 6: Final answer
    x = 1,763,269.97

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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.