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Finding the Third Proportional to 299,355.75 and 452,130.75

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Solution

The third proportional to 299,355.75 and 452,130.75 is: 682,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,355.75 : 452,130.75 = 452,130.75 : x
  2. Step 2: Convert to fraction form
    299,355.75/452,130.75 = 452,130.75/x
  3. Step 3: Cross multiply
    299,355.75x = 452,130.75 × 452,130.75
  4. Step 4: Simplify right side
    299,355.75x = 204,422,215,095.56
  5. Step 5: Solve for x
    x = 204,422,215,095.56/299,355.75
  6. Step 6: Final answer
    x = 682,873.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.