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Finding the Third Proportional to 294,810 and 467,571

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Solution

The third proportional to 294,810 and 467,571 is: 741,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,810 : 467,571 = 467,571 : x
  2. Step 2: Convert to fraction form
    294,810/467,571 = 467,571/x
  3. Step 3: Cross multiply
    294,810x = 467,571 × 467,571
  4. Step 4: Simplify right side
    294,810x = 218,622,640,041
  5. Step 5: Solve for x
    x = 218,622,640,041/294,810
  6. Step 6: Final answer
    x = 741,571.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.