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Finding the Third Proportional to 332,973 and 726,777

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Solution

The third proportional to 332,973 and 726,777 is: 1,586,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,973 : 726,777 = 726,777 : x
  2. Step 2: Convert to fraction form
    332,973/726,777 = 726,777/x
  3. Step 3: Cross multiply
    332,973x = 726,777 × 726,777
  4. Step 4: Simplify right side
    332,973x = 528,204,807,729
  5. Step 5: Solve for x
    x = 528,204,807,729/332,973
  6. Step 6: Final answer
    x = 1,586,329.25

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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.