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Finding the Third Proportional to 228,018 and 494,972

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Solution

The third proportional to 228,018 and 494,972 is: 1,074,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,018 : 494,972 = 494,972 : x
  2. Step 2: Convert to fraction form
    228,018/494,972 = 494,972/x
  3. Step 3: Cross multiply
    228,018x = 494,972 × 494,972
  4. Step 4: Simplify right side
    228,018x = 244,997,280,784
  5. Step 5: Solve for x
    x = 244,997,280,784/228,018
  6. Step 6: Final answer
    x = 1,074,464.65

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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.