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Finding the Third Proportional to 300,920 and 648,848

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Solution

The third proportional to 300,920 and 648,848 is: 1,399,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,920 : 648,848 = 648,848 : x
  2. Step 2: Convert to fraction form
    300,920/648,848 = 648,848/x
  3. Step 3: Cross multiply
    300,920x = 648,848 × 648,848
  4. Step 4: Simplify right side
    300,920x = 421,003,727,104
  5. Step 5: Solve for x
    x = 421,003,727,104/300,920
  6. Step 6: Final answer
    x = 1,399,055.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.