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Finding the Third Proportional to 268,523 and 376,392

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Solution

The third proportional to 268,523 and 376,392 is: 527,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,523 : 376,392 = 376,392 : x
  2. Step 2: Convert to fraction form
    268,523/376,392 = 376,392/x
  3. Step 3: Cross multiply
    268,523x = 376,392 × 376,392
  4. Step 4: Simplify right side
    268,523x = 141,670,937,664
  5. Step 5: Solve for x
    x = 141,670,937,664/268,523
  6. Step 6: Final answer
    x = 527,593.31

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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.