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Finding the Third Proportional to 241,921.50 and 384,333

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Solution

The third proportional to 241,921.50 and 384,333 is: 610,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,921.50 : 384,333 = 384,333 : x
  2. Step 2: Convert to fraction form
    241,921.50/384,333 = 384,333/x
  3. Step 3: Cross multiply
    241,921.50x = 384,333 × 384,333
  4. Step 4: Simplify right side
    241,921.50x = 147,711,854,889
  5. Step 5: Solve for x
    x = 147,711,854,889/241,921.50
  6. Step 6: Final answer
    x = 610,577.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.