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Finding the Third Proportional to 379,894.78 and 601,553.67

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Solution

The third proportional to 379,894.78 and 601,553.67 is: 952,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,894.78 : 601,553.67 = 601,553.67 : x
  2. Step 2: Convert to fraction form
    379,894.78/601,553.67 = 601,553.67/x
  3. Step 3: Cross multiply
    379,894.78x = 601,553.67 × 601,553.67
  4. Step 4: Simplify right side
    379,894.78x = 361,866,820,146.30
  5. Step 5: Solve for x
    x = 361,866,820,146.30/379,894.78
  6. Step 6: Final answer
    x = 952,544.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.