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Finding the Third Proportional to 335,964 and 726,144

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Solution

The third proportional to 335,964 and 726,144 is: 1,569,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,964 : 726,144 = 726,144 : x
  2. Step 2: Convert to fraction form
    335,964/726,144 = 726,144/x
  3. Step 3: Cross multiply
    335,964x = 726,144 × 726,144
  4. Step 4: Simplify right side
    335,964x = 527,285,108,736
  5. Step 5: Solve for x
    x = 527,285,108,736/335,964
  6. Step 6: Final answer
    x = 1,569,469.08

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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.