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Finding the Third Proportional to 327,119 and 493,788.50

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Solution

The third proportional to 327,119 and 493,788.50 is: 745,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,119 : 493,788.50 = 493,788.50 : x
  2. Step 2: Convert to fraction form
    327,119/493,788.50 = 493,788.50/x
  3. Step 3: Cross multiply
    327,119x = 493,788.50 × 493,788.50
  4. Step 4: Simplify right side
    327,119x = 243,827,082,732.25
  5. Step 5: Solve for x
    x = 243,827,082,732.25/327,119
  6. Step 6: Final answer
    x = 745,377.32

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