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Finding the Third Proportional to 379,976 and 592,969

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Solution

The third proportional to 379,976 and 592,969 is: 925,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,976 : 592,969 = 592,969 : x
  2. Step 2: Convert to fraction form
    379,976/592,969 = 592,969/x
  3. Step 3: Cross multiply
    379,976x = 592,969 × 592,969
  4. Step 4: Simplify right side
    379,976x = 351,612,234,961
  5. Step 5: Solve for x
    x = 351,612,234,961/379,976
  6. Step 6: Final answer
    x = 925,353.80

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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.