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Finding the Third Proportional to 409,880.25 and 573,170.25

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Solution

The third proportional to 409,880.25 and 573,170.25 is: 801,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,880.25 : 573,170.25 = 573,170.25 : x
  2. Step 2: Convert to fraction form
    409,880.25/573,170.25 = 573,170.25/x
  3. Step 3: Cross multiply
    409,880.25x = 573,170.25 × 573,170.25
  4. Step 4: Simplify right side
    409,880.25x = 328,524,135,485.06
  5. Step 5: Solve for x
    x = 328,524,135,485.06/409,880.25
  6. Step 6: Final answer
    x = 801,512.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.