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Finding the Third Proportional to 356,016 and 721,856

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Solution

The third proportional to 356,016 and 721,856 is: 1,463,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,016 : 721,856 = 721,856 : x
  2. Step 2: Convert to fraction form
    356,016/721,856 = 721,856/x
  3. Step 3: Cross multiply
    356,016x = 721,856 × 721,856
  4. Step 4: Simplify right side
    356,016x = 521,076,084,736
  5. Step 5: Solve for x
    x = 521,076,084,736/356,016
  6. Step 6: Final answer
    x = 1,463,631.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.