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Finding the Third Proportional to 336,668 and 725,812

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Solution

The third proportional to 336,668 and 725,812 is: 1,564,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,668 : 725,812 = 725,812 : x
  2. Step 2: Convert to fraction form
    336,668/725,812 = 725,812/x
  3. Step 3: Cross multiply
    336,668x = 725,812 × 725,812
  4. Step 4: Simplify right side
    336,668x = 526,803,059,344
  5. Step 5: Solve for x
    x = 526,803,059,344/336,668
  6. Step 6: Final answer
    x = 1,564,755.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.