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Finding the Third Proportional to 412,128.75 and 874,801.50

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Solution

The third proportional to 412,128.75 and 874,801.50 is: 1,856,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,128.75 : 874,801.50 = 874,801.50 : x
  2. Step 2: Convert to fraction form
    412,128.75/874,801.50 = 874,801.50/x
  3. Step 3: Cross multiply
    412,128.75x = 874,801.50 × 874,801.50
  4. Step 4: Simplify right side
    412,128.75x = 765,277,664,402.25
  5. Step 5: Solve for x
    x = 765,277,664,402.25/412,128.75
  6. Step 6: Final answer
    x = 1,856,889.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.