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Finding the Third Proportional to 376,333 and 814,009

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Solution

The third proportional to 376,333 and 814,009 is: 1,760,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,333 : 814,009 = 814,009 : x
  2. Step 2: Convert to fraction form
    376,333/814,009 = 814,009/x
  3. Step 3: Cross multiply
    376,333x = 814,009 × 814,009
  4. Step 4: Simplify right side
    376,333x = 662,610,652,081
  5. Step 5: Solve for x
    x = 662,610,652,081/376,333
  6. Step 6: Final answer
    x = 1,760,703.03

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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.