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Finding the Third Proportional to 234,683.88 and 481,809

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Solution

The third proportional to 234,683.88 and 481,809 is: 989,160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,683.88 : 481,809 = 481,809 : x
  2. Step 2: Convert to fraction form
    234,683.88/481,809 = 481,809/x
  3. Step 3: Cross multiply
    234,683.88x = 481,809 × 481,809
  4. Step 4: Simplify right side
    234,683.88x = 232,139,912,481
  5. Step 5: Solve for x
    x = 232,139,912,481/234,683.88
  6. Step 6: Final answer
    x = 989,160.05

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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.