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Finding the Third Proportional to 301,624 and 662,860

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Solution

The third proportional to 301,624 and 662,860 is: 1,456,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,624 : 662,860 = 662,860 : x
  2. Step 2: Convert to fraction form
    301,624/662,860 = 662,860/x
  3. Step 3: Cross multiply
    301,624x = 662,860 × 662,860
  4. Step 4: Simplify right side
    301,624x = 439,383,379,600
  5. Step 5: Solve for x
    x = 439,383,379,600/301,624
  6. Step 6: Final answer
    x = 1,456,725.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.