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Finding the Third Proportional to 228,270 and 463,452

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Solution

The third proportional to 228,270 and 463,452 is: 940,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,270 : 463,452 = 463,452 : x
  2. Step 2: Convert to fraction form
    228,270/463,452 = 463,452/x
  3. Step 3: Cross multiply
    228,270x = 463,452 × 463,452
  4. Step 4: Simplify right side
    228,270x = 214,787,756,304
  5. Step 5: Solve for x
    x = 214,787,756,304/228,270
  6. Step 6: Final answer
    x = 940,937.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.