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Finding the Third Proportional to 407,651.63 and 599,487.75

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Solution

The third proportional to 407,651.63 and 599,487.75 is: 881,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,651.63 : 599,487.75 = 599,487.75 : x
  2. Step 2: Convert to fraction form
    407,651.63/599,487.75 = 599,487.75/x
  3. Step 3: Cross multiply
    407,651.63x = 599,487.75 × 599,487.75
  4. Step 4: Simplify right side
    407,651.63x = 359,385,562,400.06
  5. Step 5: Solve for x
    x = 359,385,562,400.06/407,651.63
  6. Step 6: Final answer
    x = 881,599.73

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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.