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Finding the Third Proportional to 227,322 and 356,616

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Solution

The third proportional to 227,322 and 356,616 is: 559,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,322 : 356,616 = 356,616 : x
  2. Step 2: Convert to fraction form
    227,322/356,616 = 356,616/x
  3. Step 3: Cross multiply
    227,322x = 356,616 × 356,616
  4. Step 4: Simplify right side
    227,322x = 127,174,971,456
  5. Step 5: Solve for x
    x = 127,174,971,456/227,322
  6. Step 6: Final answer
    x = 559,448.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.