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Finding the Third Proportional to 367,066 and 534,623

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Solution

The third proportional to 367,066 and 534,623 is: 778,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,066 : 534,623 = 534,623 : x
  2. Step 2: Convert to fraction form
    367,066/534,623 = 534,623/x
  3. Step 3: Cross multiply
    367,066x = 534,623 × 534,623
  4. Step 4: Simplify right side
    367,066x = 285,821,752,129
  5. Step 5: Solve for x
    x = 285,821,752,129/367,066
  6. Step 6: Final answer
    x = 778,665.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.