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Finding the Third Proportional to 550,404 and 831,150

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Solution

The third proportional to 550,404 and 831,150 is: 1,255,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,404 : 831,150 = 831,150 : x
  2. Step 2: Convert to fraction form
    550,404/831,150 = 831,150/x
  3. Step 3: Cross multiply
    550,404x = 831,150 × 831,150
  4. Step 4: Simplify right side
    550,404x = 690,810,322,500
  5. Step 5: Solve for x
    x = 690,810,322,500/550,404
  6. Step 6: Final answer
    x = 1,255,096.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.