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Finding the Third Proportional to 493,551 and 743,974.50

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Solution

The third proportional to 493,551 and 743,974.50 is: 1,121,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,551 : 743,974.50 = 743,974.50 : x
  2. Step 2: Convert to fraction form
    493,551/743,974.50 = 743,974.50/x
  3. Step 3: Cross multiply
    493,551x = 743,974.50 × 743,974.50
  4. Step 4: Simplify right side
    493,551x = 553,498,056,650.25
  5. Step 5: Solve for x
    x = 553,498,056,650.25/493,551
  6. Step 6: Final answer
    x = 1,121,460.71

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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.