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Finding the Third Proportional to 268,456 and 376,288

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Solution

The third proportional to 268,456 and 376,288 is: 527,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,456 : 376,288 = 376,288 : x
  2. Step 2: Convert to fraction form
    268,456/376,288 = 376,288/x
  3. Step 3: Cross multiply
    268,456x = 376,288 × 376,288
  4. Step 4: Simplify right side
    268,456x = 141,592,658,944
  5. Step 5: Solve for x
    x = 141,592,658,944/268,456
  6. Step 6: Final answer
    x = 527,433.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.