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Finding the Third Proportional to 336,150 and 703,464

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Solution

The third proportional to 336,150 and 703,464 is: 1,472,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,150 : 703,464 = 703,464 : x
  2. Step 2: Convert to fraction form
    336,150/703,464 = 703,464/x
  3. Step 3: Cross multiply
    336,150x = 703,464 × 703,464
  4. Step 4: Simplify right side
    336,150x = 494,861,599,296
  5. Step 5: Solve for x
    x = 494,861,599,296/336,150
  6. Step 6: Final answer
    x = 1,472,145.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.