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Finding the Third Proportional to 379,819.13 and 601,440.19

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Solution

The third proportional to 379,819.13 and 601,440.19 is: 952,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,819.13 : 601,440.19 = 601,440.19 : x
  2. Step 2: Convert to fraction form
    379,819.13/601,440.19 = 601,440.19/x
  3. Step 3: Cross multiply
    379,819.13x = 601,440.19 × 601,440.19
  4. Step 4: Simplify right side
    379,819.13x = 361,730,299,140.04
  5. Step 5: Solve for x
    x = 361,730,299,140.04/379,819.13
  6. Step 6: Final answer
    x = 952,375.16

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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.