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Finding the Third Proportional to 379,828 and 601,454

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Solution

The third proportional to 379,828 and 601,454 is: 952,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,828 : 601,454 = 601,454 : x
  2. Step 2: Convert to fraction form
    379,828/601,454 = 601,454/x
  3. Step 3: Cross multiply
    379,828x = 601,454 × 601,454
  4. Step 4: Simplify right side
    379,828x = 361,746,914,116
  5. Step 5: Solve for x
    x = 361,746,914,116/379,828
  6. Step 6: Final answer
    x = 952,396.65

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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.