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Finding the Third Proportional to 300,453.75 and 458,259.75

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Solution

The third proportional to 300,453.75 and 458,259.75 is: 698,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,453.75 : 458,259.75 = 458,259.75 : x
  2. Step 2: Convert to fraction form
    300,453.75/458,259.75 = 458,259.75/x
  3. Step 3: Cross multiply
    300,453.75x = 458,259.75 × 458,259.75
  4. Step 4: Simplify right side
    300,453.75x = 210,001,998,470.06
  5. Step 5: Solve for x
    x = 210,001,998,470.06/300,453.75
  6. Step 6: Final answer
    x = 698,949.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.