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Finding the Third Proportional to 319,044,408 and 694,076,016

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Solution

The third proportional to 319,044,408 and 694,076,016 is: 1,509,951,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,044,408 : 694,076,016 = 694,076,016 : x
  2. Step 2: Convert to fraction form
    319,044,408/694,076,016 = 694,076,016/x
  3. Step 3: Cross multiply
    319,044,408x = 694,076,016 × 694,076,016
  4. Step 4: Simplify right side
    319,044,408x = 481,741,515,986,432,256
  5. Step 5: Solve for x
    x = 481,741,515,986,432,256/319,044,408
  6. Step 6: Final answer
    x = 1,509,951,291.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.