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Finding the Third Proportional to 227,444 and 356,748

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Solution

The third proportional to 227,444 and 356,748 is: 559,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,444 : 356,748 = 356,748 : x
  2. Step 2: Convert to fraction form
    227,444/356,748 = 356,748/x
  3. Step 3: Cross multiply
    227,444x = 356,748 × 356,748
  4. Step 4: Simplify right side
    227,444x = 127,269,135,504
  5. Step 5: Solve for x
    x = 127,269,135,504/227,444
  6. Step 6: Final answer
    x = 559,562.51

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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.