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Finding the Third Proportional to 348,403 and 490,606

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Solution

The third proportional to 348,403 and 490,606 is: 690,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,403 : 490,606 = 490,606 : x
  2. Step 2: Convert to fraction form
    348,403/490,606 = 490,606/x
  3. Step 3: Cross multiply
    348,403x = 490,606 × 490,606
  4. Step 4: Simplify right side
    348,403x = 240,694,247,236
  5. Step 5: Solve for x
    x = 240,694,247,236/348,403
  6. Step 6: Final answer
    x = 690,850.10

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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.