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Finding the Third Proportional to 228,004 and 494,950

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Solution

The third proportional to 228,004 and 494,950 is: 1,074,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,004 : 494,950 = 494,950 : x
  2. Step 2: Convert to fraction form
    228,004/494,950 = 494,950/x
  3. Step 3: Cross multiply
    228,004x = 494,950 × 494,950
  4. Step 4: Simplify right side
    228,004x = 244,975,502,500
  5. Step 5: Solve for x
    x = 244,975,502,500/228,004
  6. Step 6: Final answer
    x = 1,074,435.11

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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.