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Finding the Third Proportional to 354,991 and 536,182.50

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Solution

The third proportional to 354,991 and 536,182.50 is: 809,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,991 : 536,182.50 = 536,182.50 : x
  2. Step 2: Convert to fraction form
    354,991/536,182.50 = 536,182.50/x
  3. Step 3: Cross multiply
    354,991x = 536,182.50 × 536,182.50
  4. Step 4: Simplify right side
    354,991x = 287,491,673,306.25
  5. Step 5: Solve for x
    x = 287,491,673,306.25/354,991
  6. Step 6: Final answer
    x = 809,856.23

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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.