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Finding the Third Proportional to 228,226 and 463,363

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Solution

The third proportional to 228,226 and 463,363 is: 940,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,226 : 463,363 = 463,363 : x
  2. Step 2: Convert to fraction form
    228,226/463,363 = 463,363/x
  3. Step 3: Cross multiply
    228,226x = 463,363 × 463,363
  4. Step 4: Simplify right side
    228,226x = 214,705,269,769
  5. Step 5: Solve for x
    x = 214,705,269,769/228,226
  6. Step 6: Final answer
    x = 940,757.27

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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.