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Finding the Third Proportional to 384,380.44 and 918,038.81

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Solution

The third proportional to 384,380.44 and 918,038.81 is: 2,192,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,380.44 : 918,038.81 = 918,038.81 : x
  2. Step 2: Convert to fraction form
    384,380.44/918,038.81 = 918,038.81/x
  3. Step 3: Cross multiply
    384,380.44x = 918,038.81 × 918,038.81
  4. Step 4: Simplify right side
    384,380.44x = 842,795,261,256.41
  5. Step 5: Solve for x
    x = 842,795,261,256.41/384,380.44
  6. Step 6: Final answer
    x = 2,192,607.06

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.