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Finding the Third Proportional to 336,182 and 728,368

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Solution

The third proportional to 336,182 and 728,368 is: 1,578,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,182 : 728,368 = 728,368 : x
  2. Step 2: Convert to fraction form
    336,182/728,368 = 728,368/x
  3. Step 3: Cross multiply
    336,182x = 728,368 × 728,368
  4. Step 4: Simplify right side
    336,182x = 530,519,943,424
  5. Step 5: Solve for x
    x = 530,519,943,424/336,182
  6. Step 6: Final answer
    x = 1,578,073.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.