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Finding the Third Proportional to 553,709.25 and 867,474.56

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Solution

The third proportional to 553,709.25 and 867,474.56 is: 1,359,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,709.25 : 867,474.56 = 867,474.56 : x
  2. Step 2: Convert to fraction form
    553,709.25/867,474.56 = 867,474.56/x
  3. Step 3: Cross multiply
    553,709.25x = 867,474.56 × 867,474.56
  4. Step 4: Simplify right side
    553,709.25x = 752,512,116,584.57
  5. Step 5: Solve for x
    x = 752,512,116,584.57/553,709.25
  6. Step 6: Final answer
    x = 1,359,038.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.