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Finding the Third Proportional to 348,427 and 490,677

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Solution

The third proportional to 348,427 and 490,677 is: 691,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,427 : 490,677 = 490,677 : x
  2. Step 2: Convert to fraction form
    348,427/490,677 = 490,677/x
  3. Step 3: Cross multiply
    348,427x = 490,677 × 490,677
  4. Step 4: Simplify right side
    348,427x = 240,763,918,329
  5. Step 5: Solve for x
    x = 240,763,918,329/348,427
  6. Step 6: Final answer
    x = 691,002.47

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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.