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Finding the Third Proportional to 485,976 and 684,057

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Solution

The third proportional to 485,976 and 684,057 is: 962,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,976 : 684,057 = 684,057 : x
  2. Step 2: Convert to fraction form
    485,976/684,057 = 684,057/x
  3. Step 3: Cross multiply
    485,976x = 684,057 × 684,057
  4. Step 4: Simplify right side
    485,976x = 467,933,979,249
  5. Step 5: Solve for x
    x = 467,933,979,249/485,976
  6. Step 6: Final answer
    x = 962,874.67

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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.