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Finding the Third Proportional to 208,716 and 446,947.50

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Solution

The third proportional to 208,716 and 446,947.50 is: 957,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,716 : 446,947.50 = 446,947.50 : x
  2. Step 2: Convert to fraction form
    208,716/446,947.50 = 446,947.50/x
  3. Step 3: Cross multiply
    208,716x = 446,947.50 × 446,947.50
  4. Step 4: Simplify right side
    208,716x = 199,762,067,756.25
  5. Step 5: Solve for x
    x = 199,762,067,756.25/208,716
  6. Step 6: Final answer
    x = 957,099.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.