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Finding the Third Proportional to 336,084 and 703,320

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Solution

The third proportional to 336,084 and 703,320 is: 1,471,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,084 : 703,320 = 703,320 : x
  2. Step 2: Convert to fraction form
    336,084/703,320 = 703,320/x
  3. Step 3: Cross multiply
    336,084x = 703,320 × 703,320
  4. Step 4: Simplify right side
    336,084x = 494,659,022,400
  5. Step 5: Solve for x
    x = 494,659,022,400/336,084
  6. Step 6: Final answer
    x = 1,471,831.51

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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.