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Finding the Third Proportional to 228,384 and 491,763

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Solution

The third proportional to 228,384 and 491,763 is: 1,058,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,384 : 491,763 = 491,763 : x
  2. Step 2: Convert to fraction form
    228,384/491,763 = 491,763/x
  3. Step 3: Cross multiply
    228,384x = 491,763 × 491,763
  4. Step 4: Simplify right side
    228,384x = 241,830,848,169
  5. Step 5: Solve for x
    x = 241,830,848,169/228,384
  6. Step 6: Final answer
    x = 1,058,878.24

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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.