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Finding the Third Proportional to 379,974 and 592,966

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Solution

The third proportional to 379,974 and 592,966 is: 925,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,974 : 592,966 = 592,966 : x
  2. Step 2: Convert to fraction form
    379,974/592,966 = 592,966/x
  3. Step 3: Cross multiply
    379,974x = 592,966 × 592,966
  4. Step 4: Simplify right side
    379,974x = 351,608,677,156
  5. Step 5: Solve for x
    x = 351,608,677,156/379,974
  6. Step 6: Final answer
    x = 925,349.31

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Why These Related Problems?

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