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Finding the Third Proportional to 379,969.50 and 592,958.50

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Solution

The third proportional to 379,969.50 and 592,958.50 is: 925,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,969.50 : 592,958.50 = 592,958.50 : x
  2. Step 2: Convert to fraction form
    379,969.50/592,958.50 = 592,958.50/x
  3. Step 3: Cross multiply
    379,969.50x = 592,958.50 × 592,958.50
  4. Step 4: Simplify right side
    379,969.50x = 351,599,782,722.25
  5. Step 5: Solve for x
    x = 351,599,782,722.25/379,969.50
  6. Step 6: Final answer
    x = 925,336.86

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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.