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Finding the Third Proportional to 522,454.86 and 735,738.62

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Solution

The third proportional to 522,454.86 and 735,738.62 is: 1,036,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,454.86 : 735,738.62 = 735,738.62 : x
  2. Step 2: Convert to fraction form
    522,454.86/735,738.62 = 735,738.62/x
  3. Step 3: Cross multiply
    522,454.86x = 735,738.62 × 735,738.62
  4. Step 4: Simplify right side
    522,454.86x = 541,311,320,724.41
  5. Step 5: Solve for x
    x = 541,311,320,724.41/522,454.86
  6. Step 6: Final answer
    x = 1,036,092.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.