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Finding the Third Proportional to 458,935.50 and 994,143.75

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Solution

The third proportional to 458,935.50 and 994,143.75 is: 2,153,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,935.50 : 994,143.75 = 994,143.75 : x
  2. Step 2: Convert to fraction form
    458,935.50/994,143.75 = 994,143.75/x
  3. Step 3: Cross multiply
    458,935.50x = 994,143.75 × 994,143.75
  4. Step 4: Simplify right side
    458,935.50x = 988,321,795,664.06
  5. Step 5: Solve for x
    x = 988,321,795,664.06/458,935.50
  6. Step 6: Final answer
    x = 2,153,509.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.