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Finding the Third Proportional to 228,026 and 494,988

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Solution

The third proportional to 228,026 and 494,988 is: 1,074,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,026 : 494,988 = 494,988 : x
  2. Step 2: Convert to fraction form
    228,026/494,988 = 494,988/x
  3. Step 3: Cross multiply
    228,026x = 494,988 × 494,988
  4. Step 4: Simplify right side
    228,026x = 245,013,120,144
  5. Step 5: Solve for x
    x = 245,013,120,144/228,026
  6. Step 6: Final answer
    x = 1,074,496.42

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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.