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Finding the Third Proportional to 548,221.50 and 874,820.25

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Solution

The third proportional to 548,221.50 and 874,820.25 is: 1,395,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,221.50 : 874,820.25 = 874,820.25 : x
  2. Step 2: Convert to fraction form
    548,221.50/874,820.25 = 874,820.25/x
  3. Step 3: Cross multiply
    548,221.50x = 874,820.25 × 874,820.25
  4. Step 4: Simplify right side
    548,221.50x = 765,310,469,810.06
  5. Step 5: Solve for x
    x = 765,310,469,810.06/548,221.50
  6. Step 6: Final answer
    x = 1,395,987.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.