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Finding the Third Proportional to 467,831 and 724,102.50

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Solution

The third proportional to 467,831 and 724,102.50 is: 1,120,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,831 : 724,102.50 = 724,102.50 : x
  2. Step 2: Convert to fraction form
    467,831/724,102.50 = 724,102.50/x
  3. Step 3: Cross multiply
    467,831x = 724,102.50 × 724,102.50
  4. Step 4: Simplify right side
    467,831x = 524,324,430,506.25
  5. Step 5: Solve for x
    x = 524,324,430,506.25/467,831
  6. Step 6: Final answer
    x = 1,120,756.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.