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Finding the Third Proportional to 327,628.50 and 719,499

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Solution

The third proportional to 327,628.50 and 719,499 is: 1,580,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,628.50 : 719,499 = 719,499 : x
  2. Step 2: Convert to fraction form
    327,628.50/719,499 = 719,499/x
  3. Step 3: Cross multiply
    327,628.50x = 719,499 × 719,499
  4. Step 4: Simplify right side
    327,628.50x = 517,678,811,001
  5. Step 5: Solve for x
    x = 517,678,811,001/327,628.50
  6. Step 6: Final answer
    x = 1,580,078.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.