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Finding the Third Proportional to 233,449 and 455,234

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Solution

The third proportional to 233,449 and 455,234 is: 887,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,449 : 455,234 = 455,234 : x
  2. Step 2: Convert to fraction form
    233,449/455,234 = 455,234/x
  3. Step 3: Cross multiply
    233,449x = 455,234 × 455,234
  4. Step 4: Simplify right side
    233,449x = 207,237,994,756
  5. Step 5: Solve for x
    x = 207,237,994,756/233,449
  6. Step 6: Final answer
    x = 887,722.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.