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Finding the Third Proportional to 332,861 and 540,790

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Solution

The third proportional to 332,861 and 540,790 is: 878,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,861 : 540,790 = 540,790 : x
  2. Step 2: Convert to fraction form
    332,861/540,790 = 540,790/x
  3. Step 3: Cross multiply
    332,861x = 540,790 × 540,790
  4. Step 4: Simplify right side
    332,861x = 292,453,824,100
  5. Step 5: Solve for x
    x = 292,453,824,100/332,861
  6. Step 6: Final answer
    x = 878,606.46

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.