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Finding the Third Proportional to 467,908.50 and 957,948

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Solution

The third proportional to 467,908.50 and 957,948 is: 1,961,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,908.50 : 957,948 = 957,948 : x
  2. Step 2: Convert to fraction form
    467,908.50/957,948 = 957,948/x
  3. Step 3: Cross multiply
    467,908.50x = 957,948 × 957,948
  4. Step 4: Simplify right side
    467,908.50x = 917,664,370,704
  5. Step 5: Solve for x
    x = 917,664,370,704/467,908.50
  6. Step 6: Final answer
    x = 1,961,204.75

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.