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Finding the Third Proportional to 320,579 and 462,012

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Solution

The third proportional to 320,579 and 462,012 is: 665,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,579 : 462,012 = 462,012 : x
  2. Step 2: Convert to fraction form
    320,579/462,012 = 462,012/x
  3. Step 3: Cross multiply
    320,579x = 462,012 × 462,012
  4. Step 4: Simplify right side
    320,579x = 213,455,088,144
  5. Step 5: Solve for x
    x = 213,455,088,144/320,579
  6. Step 6: Final answer
    x = 665,842.39

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.