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Finding the Third Proportional to 333,056 and 451,469

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Solution

The third proportional to 333,056 and 451,469 is: 611,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,056 : 451,469 = 451,469 : x
  2. Step 2: Convert to fraction form
    333,056/451,469 = 451,469/x
  3. Step 3: Cross multiply
    333,056x = 451,469 × 451,469
  4. Step 4: Simplify right side
    333,056x = 203,824,257,961
  5. Step 5: Solve for x
    x = 203,824,257,961/333,056
  6. Step 6: Final answer
    x = 611,981.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.