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Finding the Third Proportional to 237,468.75 and 484,626.75

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Solution

The third proportional to 237,468.75 and 484,626.75 is: 989,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,468.75 : 484,626.75 = 484,626.75 : x
  2. Step 2: Convert to fraction form
    237,468.75/484,626.75 = 484,626.75/x
  3. Step 3: Cross multiply
    237,468.75x = 484,626.75 × 484,626.75
  4. Step 4: Simplify right side
    237,468.75x = 234,863,086,815.56
  5. Step 5: Solve for x
    x = 234,863,086,815.56/237,468.75
  6. Step 6: Final answer
    x = 989,027.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.