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Finding the Third Proportional to 354,577.50 and 768,231

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Solution

The third proportional to 354,577.50 and 768,231 is: 1,664,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,577.50 : 768,231 = 768,231 : x
  2. Step 2: Convert to fraction form
    354,577.50/768,231 = 768,231/x
  3. Step 3: Cross multiply
    354,577.50x = 768,231 × 768,231
  4. Step 4: Simplify right side
    354,577.50x = 590,178,869,361
  5. Step 5: Solve for x
    x = 590,178,869,361/354,577.50
  6. Step 6: Final answer
    x = 1,664,456.63

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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.