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Finding the Third Proportional to 237,493 and 484,656

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Solution

The third proportional to 237,493 and 484,656 is: 989,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,493 : 484,656 = 484,656 : x
  2. Step 2: Convert to fraction form
    237,493/484,656 = 484,656/x
  3. Step 3: Cross multiply
    237,493x = 484,656 × 484,656
  4. Step 4: Simplify right side
    237,493x = 234,891,438,336
  5. Step 5: Solve for x
    x = 234,891,438,336/237,493
  6. Step 6: Final answer
    x = 989,045.73

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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.