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Finding the Third Proportional to 257,574.94 and 378,912.94

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Solution

The third proportional to 257,574.94 and 378,912.94 is: 557,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,574.94 : 378,912.94 = 378,912.94 : x
  2. Step 2: Convert to fraction form
    257,574.94/378,912.94 = 378,912.94/x
  3. Step 3: Cross multiply
    257,574.94x = 378,912.94 × 378,912.94
  4. Step 4: Simplify right side
    257,574.94x = 143,575,014,204.88
  5. Step 5: Solve for x
    x = 143,575,014,204.88/257,574.94
  6. Step 6: Final answer
    x = 557,410.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.