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Finding the Third Proportional to 230,201 and 496,616

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Solution

The third proportional to 230,201 and 496,616 is: 1,071,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,201 : 496,616 = 496,616 : x
  2. Step 2: Convert to fraction form
    230,201/496,616 = 496,616/x
  3. Step 3: Cross multiply
    230,201x = 496,616 × 496,616
  4. Step 4: Simplify right side
    230,201x = 246,627,451,456
  5. Step 5: Solve for x
    x = 246,627,451,456/230,201
  6. Step 6: Final answer
    x = 1,071,356.99

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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.