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Finding the Third Proportional to 336,360 and 703,872

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Solution

The third proportional to 336,360 and 703,872 is: 1,472,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,360 : 703,872 = 703,872 : x
  2. Step 2: Convert to fraction form
    336,360/703,872 = 703,872/x
  3. Step 3: Cross multiply
    336,360x = 703,872 × 703,872
  4. Step 4: Simplify right side
    336,360x = 495,435,792,384
  5. Step 5: Solve for x
    x = 495,435,792,384/336,360
  6. Step 6: Final answer
    x = 1,472,933.14

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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.