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Finding the Third Proportional to 392,316.75 and 831,712.75

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Solution

The third proportional to 392,316.75 and 831,712.75 is: 1,763,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,316.75 : 831,712.75 = 831,712.75 : x
  2. Step 2: Convert to fraction form
    392,316.75/831,712.75 = 831,712.75/x
  3. Step 3: Cross multiply
    392,316.75x = 831,712.75 × 831,712.75
  4. Step 4: Simplify right side
    392,316.75x = 691,746,098,512.56
  5. Step 5: Solve for x
    x = 691,746,098,512.56/392,316.75
  6. Step 6: Final answer
    x = 1,763,233.66

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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.