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Finding the Third Proportional to 539,631 and 791,949.50

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Solution

The third proportional to 539,631 and 791,949.50 is: 1,162,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,631 : 791,949.50 = 791,949.50 : x
  2. Step 2: Convert to fraction form
    539,631/791,949.50 = 791,949.50/x
  3. Step 3: Cross multiply
    539,631x = 791,949.50 × 791,949.50
  4. Step 4: Simplify right side
    539,631x = 627,184,010,550.25
  5. Step 5: Solve for x
    x = 627,184,010,550.25/539,631
  6. Step 6: Final answer
    x = 1,162,246.07

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