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Finding the Third Proportional to 445,996 and 679,450.50

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Solution

The third proportional to 445,996 and 679,450.50 is: 1,035,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,996 : 679,450.50 = 679,450.50 : x
  2. Step 2: Convert to fraction form
    445,996/679,450.50 = 679,450.50/x
  3. Step 3: Cross multiply
    445,996x = 679,450.50 × 679,450.50
  4. Step 4: Simplify right side
    445,996x = 461,652,981,950.25
  5. Step 5: Solve for x
    x = 461,652,981,950.25/445,996
  6. Step 6: Final answer
    x = 1,035,105.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.