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Finding the Third Proportional to 384,096.94 and 830,467.69

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Solution

The third proportional to 384,096.94 and 830,467.69 is: 1,795,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,096.94 : 830,467.69 = 830,467.69 : x
  2. Step 2: Convert to fraction form
    384,096.94/830,467.69 = 830,467.69/x
  3. Step 3: Cross multiply
    384,096.94x = 830,467.69 × 830,467.69
  4. Step 4: Simplify right side
    384,096.94x = 689,676,579,981.60
  5. Step 5: Solve for x
    x = 689,676,579,981.60/384,096.94
  6. Step 6: Final answer
    x = 1,795,579.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.