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Finding the Third Proportional to 228,230 and 463,371

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Solution

The third proportional to 228,230 and 463,371 is: 940,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,230 : 463,371 = 463,371 : x
  2. Step 2: Convert to fraction form
    228,230/463,371 = 463,371/x
  3. Step 3: Cross multiply
    228,230x = 463,371 × 463,371
  4. Step 4: Simplify right side
    228,230x = 214,712,683,641
  5. Step 5: Solve for x
    x = 214,712,683,641/228,230
  6. Step 6: Final answer
    x = 940,773.27

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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.