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Finding the Third Proportional to 228,972 and 504,456

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Solution

The third proportional to 228,972 and 504,456 is: 1,111,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,972 : 504,456 = 504,456 : x
  2. Step 2: Convert to fraction form
    228,972/504,456 = 504,456/x
  3. Step 3: Cross multiply
    228,972x = 504,456 × 504,456
  4. Step 4: Simplify right side
    228,972x = 254,475,855,936
  5. Step 5: Solve for x
    x = 254,475,855,936/228,972
  6. Step 6: Final answer
    x = 1,111,384.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.