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Finding the Third Proportional to 281,806.50 and 664,560

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Solution

The third proportional to 281,806.50 and 664,560 is: 1,567,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,806.50 : 664,560 = 664,560 : x
  2. Step 2: Convert to fraction form
    281,806.50/664,560 = 664,560/x
  3. Step 3: Cross multiply
    281,806.50x = 664,560 × 664,560
  4. Step 4: Simplify right side
    281,806.50x = 441,639,993,600
  5. Step 5: Solve for x
    x = 441,639,993,600/281,806.50
  6. Step 6: Final answer
    x = 1,567,174.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.