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Finding the Third Proportional to 338,714 and 519,783

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Solution

The third proportional to 338,714 and 519,783 is: 797,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,714 : 519,783 = 519,783 : x
  2. Step 2: Convert to fraction form
    338,714/519,783 = 519,783/x
  3. Step 3: Cross multiply
    338,714x = 519,783 × 519,783
  4. Step 4: Simplify right side
    338,714x = 270,174,367,089
  5. Step 5: Solve for x
    x = 270,174,367,089/338,714
  6. Step 6: Final answer
    x = 797,647.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.