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Finding the Third Proportional to 363,774 and 550,693.50

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Solution

The third proportional to 363,774 and 550,693.50 is: 833,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,774 : 550,693.50 = 550,693.50 : x
  2. Step 2: Convert to fraction form
    363,774/550,693.50 = 550,693.50/x
  3. Step 3: Cross multiply
    363,774x = 550,693.50 × 550,693.50
  4. Step 4: Simplify right side
    363,774x = 303,263,330,942.25
  5. Step 5: Solve for x
    x = 303,263,330,942.25/363,774
  6. Step 6: Final answer
    x = 833,658.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.