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Finding the Third Proportional to 306,049.50 and 719,874.75

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Solution

The third proportional to 306,049.50 and 719,874.75 is: 1,693,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,049.50 : 719,874.75 = 719,874.75 : x
  2. Step 2: Convert to fraction form
    306,049.50/719,874.75 = 719,874.75/x
  3. Step 3: Cross multiply
    306,049.50x = 719,874.75 × 719,874.75
  4. Step 4: Simplify right side
    306,049.50x = 518,219,655,687.56
  5. Step 5: Solve for x
    x = 518,219,655,687.56/306,049.50
  6. Step 6: Final answer
    x = 1,693,254.38

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.