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Finding the Third Proportional to 539,766 and 792,135

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Solution

The third proportional to 539,766 and 792,135 is: 1,162,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,766 : 792,135 = 792,135 : x
  2. Step 2: Convert to fraction form
    539,766/792,135 = 792,135/x
  3. Step 3: Cross multiply
    539,766x = 792,135 × 792,135
  4. Step 4: Simplify right side
    539,766x = 627,477,858,225
  5. Step 5: Solve for x
    x = 627,477,858,225/539,766
  6. Step 6: Final answer
    x = 1,162,499.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.