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Finding the Third Proportional to 529,514 and 799,143

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Solution

The third proportional to 529,514 and 799,143 is: 1,206,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,514 : 799,143 = 799,143 : x
  2. Step 2: Convert to fraction form
    529,514/799,143 = 799,143/x
  3. Step 3: Cross multiply
    529,514x = 799,143 × 799,143
  4. Step 4: Simplify right side
    529,514x = 638,629,534,449
  5. Step 5: Solve for x
    x = 638,629,534,449/529,514
  6. Step 6: Final answer
    x = 1,206,067.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.