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Finding the Third Proportional to 367,061 and 534,613

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Solution

The third proportional to 367,061 and 534,613 is: 778,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,061 : 534,613 = 534,613 : x
  2. Step 2: Convert to fraction form
    367,061/534,613 = 534,613/x
  3. Step 3: Cross multiply
    367,061x = 534,613 × 534,613
  4. Step 4: Simplify right side
    367,061x = 285,811,059,769
  5. Step 5: Solve for x
    x = 285,811,059,769/367,061
  6. Step 6: Final answer
    x = 778,647.31

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