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Finding the Third Proportional to 268,982 and 376,972

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Solution

The third proportional to 268,982 and 376,972 is: 528,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,982 : 376,972 = 376,972 : x
  2. Step 2: Convert to fraction form
    268,982/376,972 = 376,972/x
  3. Step 3: Cross multiply
    268,982x = 376,972 × 376,972
  4. Step 4: Simplify right side
    268,982x = 142,107,888,784
  5. Step 5: Solve for x
    x = 142,107,888,784/268,982
  6. Step 6: Final answer
    x = 528,317.47

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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.