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Finding the Third Proportional to 299,364.75 and 447,864.75

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Solution

The third proportional to 299,364.75 and 447,864.75 is: 670,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,364.75 : 447,864.75 = 447,864.75 : x
  2. Step 2: Convert to fraction form
    299,364.75/447,864.75 = 447,864.75/x
  3. Step 3: Cross multiply
    299,364.75x = 447,864.75 × 447,864.75
  4. Step 4: Simplify right side
    299,364.75x = 200,582,834,292.56
  5. Step 5: Solve for x
    x = 200,582,834,292.56/299,364.75
  6. Step 6: Final answer
    x = 670,028.23

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Why These Related Problems?

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