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Finding the Third Proportional to 348,440 and 490,694

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Solution

The third proportional to 348,440 and 490,694 is: 691,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,440 : 490,694 = 490,694 : x
  2. Step 2: Convert to fraction form
    348,440/490,694 = 490,694/x
  3. Step 3: Cross multiply
    348,440x = 490,694 × 490,694
  4. Step 4: Simplify right side
    348,440x = 240,780,601,636
  5. Step 5: Solve for x
    x = 240,780,601,636/348,440
  6. Step 6: Final answer
    x = 691,024.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.