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Finding the Third Proportional to 268,524 and 376,420

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Solution

The third proportional to 268,524 and 376,420 is: 527,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,524 : 376,420 = 376,420 : x
  2. Step 2: Convert to fraction form
    268,524/376,420 = 376,420/x
  3. Step 3: Cross multiply
    268,524x = 376,420 × 376,420
  4. Step 4: Simplify right side
    268,524x = 141,692,016,400
  5. Step 5: Solve for x
    x = 141,692,016,400/268,524
  6. Step 6: Final answer
    x = 527,669.84

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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.