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Finding the Third Proportional to 453,840.75 and 967,297.50

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Solution

The third proportional to 453,840.75 and 967,297.50 is: 2,061,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,840.75 : 967,297.50 = 967,297.50 : x
  2. Step 2: Convert to fraction form
    453,840.75/967,297.50 = 967,297.50/x
  3. Step 3: Cross multiply
    453,840.75x = 967,297.50 × 967,297.50
  4. Step 4: Simplify right side
    453,840.75x = 935,664,453,506.25
  5. Step 5: Solve for x
    x = 935,664,453,506.25/453,840.75
  6. Step 6: Final answer
    x = 2,061,658.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.