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Finding the Third Proportional to 412,963.50 and 625,161

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Solution

The third proportional to 412,963.50 and 625,161 is: 946,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,963.50 : 625,161 = 625,161 : x
  2. Step 2: Convert to fraction form
    412,963.50/625,161 = 625,161/x
  3. Step 3: Cross multiply
    412,963.50x = 625,161 × 625,161
  4. Step 4: Simplify right side
    412,963.50x = 390,826,275,921
  5. Step 5: Solve for x
    x = 390,826,275,921/412,963.50
  6. Step 6: Final answer
    x = 946,394.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.