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Finding the Third Proportional to 407,713.50 and 599,035.50

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Solution

The third proportional to 407,713.50 and 599,035.50 is: 880,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,713.50 : 599,035.50 = 599,035.50 : x
  2. Step 2: Convert to fraction form
    407,713.50/599,035.50 = 599,035.50/x
  3. Step 3: Cross multiply
    407,713.50x = 599,035.50 × 599,035.50
  4. Step 4: Simplify right side
    407,713.50x = 358,843,530,260.25
  5. Step 5: Solve for x
    x = 358,843,530,260.25/407,713.50
  6. Step 6: Final answer
    x = 880,136.49

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.