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Finding the Third Proportional to 354,600 and 768,267

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Solution

The third proportional to 354,600 and 768,267 is: 1,664,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,600 : 768,267 = 768,267 : x
  2. Step 2: Convert to fraction form
    354,600/768,267 = 768,267/x
  3. Step 3: Cross multiply
    354,600x = 768,267 × 768,267
  4. Step 4: Simplify right side
    354,600x = 590,234,183,289
  5. Step 5: Solve for x
    x = 590,234,183,289/354,600
  6. Step 6: Final answer
    x = 1,664,507.00

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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.