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Finding the Third Proportional to 340,784 and 703,418

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Solution

The third proportional to 340,784 and 703,418 is: 1,451,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,784 : 703,418 = 703,418 : x
  2. Step 2: Convert to fraction form
    340,784/703,418 = 703,418/x
  3. Step 3: Cross multiply
    340,784x = 703,418 × 703,418
  4. Step 4: Simplify right side
    340,784x = 494,796,882,724
  5. Step 5: Solve for x
    x = 494,796,882,724/340,784
  6. Step 6: Final answer
    x = 1,451,936.95

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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.