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Finding the Third Proportional to 468,321.75 and 700,599.38

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Solution

The third proportional to 468,321.75 and 700,599.38 is: 1,048,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,321.75 : 700,599.38 = 700,599.38 : x
  2. Step 2: Convert to fraction form
    468,321.75/700,599.38 = 700,599.38/x
  3. Step 3: Cross multiply
    468,321.75x = 700,599.38 × 700,599.38
  4. Step 4: Simplify right side
    468,321.75x = 490,839,484,250.39
  5. Step 5: Solve for x
    x = 490,839,484,250.39/468,321.75
  6. Step 6: Final answer
    x = 1,048,081.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.