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Finding the Third Proportional to 332,964 and 726,759

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Solution

The third proportional to 332,964 and 726,759 is: 1,586,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,964 : 726,759 = 726,759 : x
  2. Step 2: Convert to fraction form
    332,964/726,759 = 726,759/x
  3. Step 3: Cross multiply
    332,964x = 726,759 × 726,759
  4. Step 4: Simplify right side
    332,964x = 528,178,644,081
  5. Step 5: Solve for x
    x = 528,178,644,081/332,964
  6. Step 6: Final answer
    x = 1,586,293.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.