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Finding the Third Proportional to 228,008 and 494,656

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Solution

The third proportional to 228,008 and 494,656 is: 1,073,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,008 : 494,656 = 494,656 : x
  2. Step 2: Convert to fraction form
    228,008/494,656 = 494,656/x
  3. Step 3: Cross multiply
    228,008x = 494,656 × 494,656
  4. Step 4: Simplify right side
    228,008x = 244,684,558,336
  5. Step 5: Solve for x
    x = 244,684,558,336/228,008
  6. Step 6: Final answer
    x = 1,073,140.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.