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Finding the Third Proportional to 319,832 and 740,504

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Solution

The third proportional to 319,832 and 740,504 is: 1,714,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,832 : 740,504 = 740,504 : x
  2. Step 2: Convert to fraction form
    319,832/740,504 = 740,504/x
  3. Step 3: Cross multiply
    319,832x = 740,504 × 740,504
  4. Step 4: Simplify right side
    319,832x = 548,346,174,016
  5. Step 5: Solve for x
    x = 548,346,174,016/319,832
  6. Step 6: Final answer
    x = 1,714,481.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.