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Finding the Third Proportional to 228,376 and 481,370

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Solution

The third proportional to 228,376 and 481,370 is: 1,014,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,376 : 481,370 = 481,370 : x
  2. Step 2: Convert to fraction form
    228,376/481,370 = 481,370/x
  3. Step 3: Cross multiply
    228,376x = 481,370 × 481,370
  4. Step 4: Simplify right side
    228,376x = 231,717,076,900
  5. Step 5: Solve for x
    x = 231,717,076,900/228,376
  6. Step 6: Final answer
    x = 1,014,629.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.