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Finding the Third Proportional to 379,818 and 601,439

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Solution

The third proportional to 379,818 and 601,439 is: 952,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,818 : 601,439 = 601,439 : x
  2. Step 2: Convert to fraction form
    379,818/601,439 = 601,439/x
  3. Step 3: Cross multiply
    379,818x = 601,439 × 601,439
  4. Step 4: Simplify right side
    379,818x = 361,728,870,721
  5. Step 5: Solve for x
    x = 361,728,870,721/379,818
  6. Step 6: Final answer
    x = 952,374.22

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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.