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Finding the Third Proportional to 392,253.75 and 606,131.50

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Solution

The third proportional to 392,253.75 and 606,131.50 is: 936,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,253.75 : 606,131.50 = 606,131.50 : x
  2. Step 2: Convert to fraction form
    392,253.75/606,131.50 = 606,131.50/x
  3. Step 3: Cross multiply
    392,253.75x = 606,131.50 × 606,131.50
  4. Step 4: Simplify right side
    392,253.75x = 367,395,395,292.25
  5. Step 5: Solve for x
    x = 367,395,395,292.25/392,253.75
  6. Step 6: Final answer
    x = 936,626.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.