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Finding the Third Proportional to 237,628.50 and 494,921.25

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Solution

The third proportional to 237,628.50 and 494,921.25 is: 1,030,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,628.50 : 494,921.25 = 494,921.25 : x
  2. Step 2: Convert to fraction form
    237,628.50/494,921.25 = 494,921.25/x
  3. Step 3: Cross multiply
    237,628.50x = 494,921.25 × 494,921.25
  4. Step 4: Simplify right side
    237,628.50x = 244,947,043,701.56
  5. Step 5: Solve for x
    x = 244,947,043,701.56/237,628.50
  6. Step 6: Final answer
    x = 1,030,798.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.