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Finding the Third Proportional to 336,812 and 726,114

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Solution

The third proportional to 336,812 and 726,114 is: 1,565,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,812 : 726,114 = 726,114 : x
  2. Step 2: Convert to fraction form
    336,812/726,114 = 726,114/x
  3. Step 3: Cross multiply
    336,812x = 726,114 × 726,114
  4. Step 4: Simplify right side
    336,812x = 527,241,540,996
  5. Step 5: Solve for x
    x = 527,241,540,996/336,812
  6. Step 6: Final answer
    x = 1,565,388.23

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Why These Related Problems?

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