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Finding the Third Proportional to 449,608.50 and 971,187.75

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Solution

The third proportional to 449,608.50 and 971,187.75 is: 2,097,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,608.50 : 971,187.75 = 971,187.75 : x
  2. Step 2: Convert to fraction form
    449,608.50/971,187.75 = 971,187.75/x
  3. Step 3: Cross multiply
    449,608.50x = 971,187.75 × 971,187.75
  4. Step 4: Simplify right side
    449,608.50x = 943,205,645,750.06
  5. Step 5: Solve for x
    x = 943,205,645,750.06/449,608.50
  6. Step 6: Final answer
    x = 2,097,837.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.