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Finding the Third Proportional to 467,914.50 and 957,996

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Solution

The third proportional to 467,914.50 and 957,996 is: 1,961,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,914.50 : 957,996 = 957,996 : x
  2. Step 2: Convert to fraction form
    467,914.50/957,996 = 957,996/x
  3. Step 3: Cross multiply
    467,914.50x = 957,996 × 957,996
  4. Step 4: Simplify right side
    467,914.50x = 917,756,336,016
  5. Step 5: Solve for x
    x = 917,756,336,016/467,914.50
  6. Step 6: Final answer
    x = 1,961,376.14

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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.