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Finding the Third Proportional to 379,978 and 592,972

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Solution

The third proportional to 379,978 and 592,972 is: 925,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,978 : 592,972 = 592,972 : x
  2. Step 2: Convert to fraction form
    379,978/592,972 = 592,972/x
  3. Step 3: Cross multiply
    379,978x = 592,972 × 592,972
  4. Step 4: Simplify right side
    379,978x = 351,615,792,784
  5. Step 5: Solve for x
    x = 351,615,792,784/379,978
  6. Step 6: Final answer
    x = 925,358.29

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.