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Finding the Third Proportional to 209,805.75 and 458,034.75

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Solution

The third proportional to 209,805.75 and 458,034.75 is: 999,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,805.75 : 458,034.75 = 458,034.75 : x
  2. Step 2: Convert to fraction form
    209,805.75/458,034.75 = 458,034.75/x
  3. Step 3: Cross multiply
    209,805.75x = 458,034.75 × 458,034.75
  4. Step 4: Simplify right side
    209,805.75x = 209,795,832,207.56
  5. Step 5: Solve for x
    x = 209,795,832,207.56/209,805.75
  6. Step 6: Final answer
    x = 999,952.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.