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Finding the Third Proportional to 301,792.50 and 452,724.75

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Solution

The third proportional to 301,792.50 and 452,724.75 is: 679,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,792.50 : 452,724.75 = 452,724.75 : x
  2. Step 2: Convert to fraction form
    301,792.50/452,724.75 = 452,724.75/x
  3. Step 3: Cross multiply
    301,792.50x = 452,724.75 × 452,724.75
  4. Step 4: Simplify right side
    301,792.50x = 204,959,699,262.56
  5. Step 5: Solve for x
    x = 204,959,699,262.56/301,792.50
  6. Step 6: Final answer
    x = 679,141.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.