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Finding the Third Proportional to 348,422 and 763,273

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Solution

The third proportional to 348,422 and 763,273 is: 1,672,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,422 : 763,273 = 763,273 : x
  2. Step 2: Convert to fraction form
    348,422/763,273 = 763,273/x
  3. Step 3: Cross multiply
    348,422x = 763,273 × 763,273
  4. Step 4: Simplify right side
    348,422x = 582,585,672,529
  5. Step 5: Solve for x
    x = 582,585,672,529/348,422
  6. Step 6: Final answer
    x = 1,672,069.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.