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Finding the Third Proportional to 336,976 and 726,176

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Solution

The third proportional to 336,976 and 726,176 is: 1,564,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,976 : 726,176 = 726,176 : x
  2. Step 2: Convert to fraction form
    336,976/726,176 = 726,176/x
  3. Step 3: Cross multiply
    336,976x = 726,176 × 726,176
  4. Step 4: Simplify right side
    336,976x = 527,331,582,976
  5. Step 5: Solve for x
    x = 527,331,582,976/336,976
  6. Step 6: Final answer
    x = 1,564,893.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.