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Finding the Third Proportional to 445,902 and 668,992

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Solution

The third proportional to 445,902 and 668,992 is: 1,003,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,902 : 668,992 = 668,992 : x
  2. Step 2: Convert to fraction form
    445,902/668,992 = 668,992/x
  3. Step 3: Cross multiply
    445,902x = 668,992 × 668,992
  4. Step 4: Simplify right side
    445,902x = 447,550,296,064
  5. Step 5: Solve for x
    x = 447,550,296,064/445,902
  6. Step 6: Final answer
    x = 1,003,696.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.