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Finding the Third Proportional to 379,980.50 and 592,974.75

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Solution

The third proportional to 379,980.50 and 592,974.75 is: 925,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,980.50 : 592,974.75 = 592,974.75 : x
  2. Step 2: Convert to fraction form
    379,980.50/592,974.75 = 592,974.75/x
  3. Step 3: Cross multiply
    379,980.50x = 592,974.75 × 592,974.75
  4. Step 4: Simplify right side
    379,980.50x = 351,619,054,137.56
  5. Step 5: Solve for x
    x = 351,619,054,137.56/379,980.50
  6. Step 6: Final answer
    x = 925,360.79

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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.