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Finding the Third Proportional to 356,208 and 554,016

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Solution

The third proportional to 356,208 and 554,016 is: 861,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,208 : 554,016 = 554,016 : x
  2. Step 2: Convert to fraction form
    356,208/554,016 = 554,016/x
  3. Step 3: Cross multiply
    356,208x = 554,016 × 554,016
  4. Step 4: Simplify right side
    356,208x = 306,933,728,256
  5. Step 5: Solve for x
    x = 306,933,728,256/356,208
  6. Step 6: Final answer
    x = 861,669.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.