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Finding the Third Proportional to 303,714 and 666,944

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Solution

The third proportional to 303,714 and 666,944 is: 1,464,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,714 : 666,944 = 666,944 : x
  2. Step 2: Convert to fraction form
    303,714/666,944 = 666,944/x
  3. Step 3: Cross multiply
    303,714x = 666,944 × 666,944
  4. Step 4: Simplify right side
    303,714x = 444,814,299,136
  5. Step 5: Solve for x
    x = 444,814,299,136/303,714
  6. Step 6: Final answer
    x = 1,464,582.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.