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Finding the Third Proportional to 228,264 and 491,664

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Solution

The third proportional to 228,264 and 491,664 is: 1,059,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,264 : 491,664 = 491,664 : x
  2. Step 2: Convert to fraction form
    228,264/491,664 = 491,664/x
  3. Step 3: Cross multiply
    228,264x = 491,664 × 491,664
  4. Step 4: Simplify right side
    228,264x = 241,733,488,896
  5. Step 5: Solve for x
    x = 241,733,488,896/228,264
  6. Step 6: Final answer
    x = 1,059,008.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.