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Finding the Third Proportional to 379,030.50 and 567,958.50

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Solution

The third proportional to 379,030.50 and 567,958.50 is: 851,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,030.50 : 567,958.50 = 567,958.50 : x
  2. Step 2: Convert to fraction form
    379,030.50/567,958.50 = 567,958.50/x
  3. Step 3: Cross multiply
    379,030.50x = 567,958.50 × 567,958.50
  4. Step 4: Simplify right side
    379,030.50x = 322,576,857,722.25
  5. Step 5: Solve for x
    x = 322,576,857,722.25/379,030.50
  6. Step 6: Final answer
    x = 851,057.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.