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Finding the Third Proportional to 458,731.13 and 993,062.25

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Solution

The third proportional to 458,731.13 and 993,062.25 is: 2,149,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,731.13 : 993,062.25 = 993,062.25 : x
  2. Step 2: Convert to fraction form
    458,731.13/993,062.25 = 993,062.25/x
  3. Step 3: Cross multiply
    458,731.13x = 993,062.25 × 993,062.25
  4. Step 4: Simplify right side
    458,731.13x = 986,172,632,375.06
  5. Step 5: Solve for x
    x = 986,172,632,375.06/458,731.13
  6. Step 6: Final answer
    x = 2,149,783.56

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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.