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Finding the Third Proportional to 299,052.84 and 454,816.69

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Solution

The third proportional to 299,052.84 and 454,816.69 is: 691,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,052.84 : 454,816.69 = 454,816.69 : x
  2. Step 2: Convert to fraction form
    299,052.84/454,816.69 = 454,816.69/x
  3. Step 3: Cross multiply
    299,052.84x = 454,816.69 × 454,816.69
  4. Step 4: Simplify right side
    299,052.84x = 206,858,219,228.47
  5. Step 5: Solve for x
    x = 206,858,219,228.47/299,052.84
  6. Step 6: Final answer
    x = 691,711.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.