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Finding the Third Proportional to 345,393 and 743,273

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Solution

The third proportional to 345,393 and 743,273 is: 1,599,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,393 : 743,273 = 743,273 : x
  2. Step 2: Convert to fraction form
    345,393/743,273 = 743,273/x
  3. Step 3: Cross multiply
    345,393x = 743,273 × 743,273
  4. Step 4: Simplify right side
    345,393x = 552,454,752,529
  5. Step 5: Solve for x
    x = 552,454,752,529/345,393
  6. Step 6: Final answer
    x = 1,599,496.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.