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Finding the Third Proportional to 228,714 and 326,763

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Solution

The third proportional to 228,714 and 326,763 is: 466,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,714 : 326,763 = 326,763 : x
  2. Step 2: Convert to fraction form
    228,714/326,763 = 326,763/x
  3. Step 3: Cross multiply
    228,714x = 326,763 × 326,763
  4. Step 4: Simplify right side
    228,714x = 106,774,058,169
  5. Step 5: Solve for x
    x = 106,774,058,169/228,714
  6. Step 6: Final answer
    x = 466,845.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.