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Finding the Third Proportional to 467,879.50 and 743,812.50

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Solution

The third proportional to 467,879.50 and 743,812.50 is: 1,182,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,879.50 : 743,812.50 = 743,812.50 : x
  2. Step 2: Convert to fraction form
    467,879.50/743,812.50 = 743,812.50/x
  3. Step 3: Cross multiply
    467,879.50x = 743,812.50 × 743,812.50
  4. Step 4: Simplify right side
    467,879.50x = 553,257,035,156.25
  5. Step 5: Solve for x
    x = 553,257,035,156.25/467,879.50
  6. Step 6: Final answer
    x = 1,182,477.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.