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Finding the Third Proportional to 295,806.94 and 647,586.56

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Solution

The third proportional to 295,806.94 and 647,586.56 is: 1,417,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,806.94 : 647,586.56 = 647,586.56 : x
  2. Step 2: Convert to fraction form
    295,806.94/647,586.56 = 647,586.56/x
  3. Step 3: Cross multiply
    295,806.94x = 647,586.56 × 647,586.56
  4. Step 4: Simplify right side
    295,806.94x = 419,368,355,930.57
  5. Step 5: Solve for x
    x = 419,368,355,930.57/295,806.94
  6. Step 6: Final answer
    x = 1,417,709.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.