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Finding the Third Proportional to 234,682.88 and 481,806.84

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Solution

The third proportional to 234,682.88 and 481,806.84 is: 989,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,682.88 : 481,806.84 = 481,806.84 : x
  2. Step 2: Convert to fraction form
    234,682.88/481,806.84 = 481,806.84/x
  3. Step 3: Cross multiply
    234,682.88x = 481,806.84 × 481,806.84
  4. Step 4: Simplify right side
    234,682.88x = 232,137,834,684.34
  5. Step 5: Solve for x
    x = 232,137,834,684.34/234,682.88
  6. Step 6: Final answer
    x = 989,155.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.