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Finding the Third Proportional to 458,932.50 and 994,122

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Solution

The third proportional to 458,932.50 and 994,122 is: 2,153,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,932.50 : 994,122 = 994,122 : x
  2. Step 2: Convert to fraction form
    458,932.50/994,122 = 994,122/x
  3. Step 3: Cross multiply
    458,932.50x = 994,122 × 994,122
  4. Step 4: Simplify right side
    458,932.50x = 988,278,550,884
  5. Step 5: Solve for x
    x = 988,278,550,884/458,932.50
  6. Step 6: Final answer
    x = 2,153,428.99

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