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Finding the Third Proportional to 458,859.94 and 993,991.50

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Solution

The third proportional to 458,859.94 and 993,991.50 is: 2,153,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,859.94 : 993,991.50 = 993,991.50 : x
  2. Step 2: Convert to fraction form
    458,859.94/993,991.50 = 993,991.50/x
  3. Step 3: Cross multiply
    458,859.94x = 993,991.50 × 993,991.50
  4. Step 4: Simplify right side
    458,859.94x = 988,019,102,072.25
  5. Step 5: Solve for x
    x = 988,019,102,072.25/458,859.94
  6. Step 6: Final answer
    x = 2,153,204.11

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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.