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Finding the Third Proportional to 319,977 and 679,306.50

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Solution

The third proportional to 319,977 and 679,306.50 is: 1,442,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,977 : 679,306.50 = 679,306.50 : x
  2. Step 2: Convert to fraction form
    319,977/679,306.50 = 679,306.50/x
  3. Step 3: Cross multiply
    319,977x = 679,306.50 × 679,306.50
  4. Step 4: Simplify right side
    319,977x = 461,457,320,942.25
  5. Step 5: Solve for x
    x = 461,457,320,942.25/319,977
  6. Step 6: Final answer
    x = 1,442,157.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.