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Finding the Third Proportional to 335,966 and 726,148

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Solution

The third proportional to 335,966 and 726,148 is: 1,569,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,966 : 726,148 = 726,148 : x
  2. Step 2: Convert to fraction form
    335,966/726,148 = 726,148/x
  3. Step 3: Cross multiply
    335,966x = 726,148 × 726,148
  4. Step 4: Simplify right side
    335,966x = 527,290,917,904
  5. Step 5: Solve for x
    x = 527,290,917,904/335,966
  6. Step 6: Final answer
    x = 1,569,477.02

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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.