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Finding the Third Proportional to 273,229.50 and 407,035.50

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Solution

The third proportional to 273,229.50 and 407,035.50 is: 606,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,229.50 : 407,035.50 = 407,035.50 : x
  2. Step 2: Convert to fraction form
    273,229.50/407,035.50 = 407,035.50/x
  3. Step 3: Cross multiply
    273,229.50x = 407,035.50 × 407,035.50
  4. Step 4: Simplify right side
    273,229.50x = 165,677,898,260.25
  5. Step 5: Solve for x
    x = 165,677,898,260.25/273,229.50
  6. Step 6: Final answer
    x = 606,369.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.