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Finding the Third Proportional to 257,709.94 and 553,560.75

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Solution

The third proportional to 257,709.94 and 553,560.75 is: 1,189,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,709.94 : 553,560.75 = 553,560.75 : x
  2. Step 2: Convert to fraction form
    257,709.94/553,560.75 = 553,560.75/x
  3. Step 3: Cross multiply
    257,709.94x = 553,560.75 × 553,560.75
  4. Step 4: Simplify right side
    257,709.94x = 306,429,503,940.56
  5. Step 5: Solve for x
    x = 306,429,503,940.56/257,709.94
  6. Step 6: Final answer
    x = 1,189,048.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.