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Finding the Third Proportional to 237,474 and 484,636

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Solution

The third proportional to 237,474 and 484,636 is: 989,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,474 : 484,636 = 484,636 : x
  2. Step 2: Convert to fraction form
    237,474/484,636 = 484,636/x
  3. Step 3: Cross multiply
    237,474x = 484,636 × 484,636
  4. Step 4: Simplify right side
    237,474x = 234,872,052,496
  5. Step 5: Solve for x
    x = 234,872,052,496/237,474
  6. Step 6: Final answer
    x = 989,043.23

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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.