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Finding the Third Proportional to 340,731 and 703,314

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Solution

The third proportional to 340,731 and 703,314 is: 1,451,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,731 : 703,314 = 703,314 : x
  2. Step 2: Convert to fraction form
    340,731/703,314 = 703,314/x
  3. Step 3: Cross multiply
    340,731x = 703,314 × 703,314
  4. Step 4: Simplify right side
    340,731x = 494,650,582,596
  5. Step 5: Solve for x
    x = 494,650,582,596/340,731
  6. Step 6: Final answer
    x = 1,451,733.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.