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Finding the Third Proportional to 354,578.50 and 768,233

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Solution

The third proportional to 354,578.50 and 768,233 is: 1,664,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,578.50 : 768,233 = 768,233 : x
  2. Step 2: Convert to fraction form
    354,578.50/768,233 = 768,233/x
  3. Step 3: Cross multiply
    354,578.50x = 768,233 × 768,233
  4. Step 4: Simplify right side
    354,578.50x = 590,181,942,289
  5. Step 5: Solve for x
    x = 590,181,942,289/354,578.50
  6. Step 6: Final answer
    x = 1,664,460.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.