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Finding the Third Proportional to 378,450 and 630,717.75

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Solution

The third proportional to 378,450 and 630,717.75 is: 1,051,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,450 : 630,717.75 = 630,717.75 : x
  2. Step 2: Convert to fraction form
    378,450/630,717.75 = 630,717.75/x
  3. Step 3: Cross multiply
    378,450x = 630,717.75 × 630,717.75
  4. Step 4: Simplify right side
    378,450x = 397,804,880,165.06
  5. Step 5: Solve for x
    x = 397,804,880,165.06/378,450
  6. Step 6: Final answer
    x = 1,051,142.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.