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Finding the Third Proportional to 260,035.69 and 412,602

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Solution

The third proportional to 260,035.69 and 412,602 is: 654,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,035.69 : 412,602 = 412,602 : x
  2. Step 2: Convert to fraction form
    260,035.69/412,602 = 412,602/x
  3. Step 3: Cross multiply
    260,035.69x = 412,602 × 412,602
  4. Step 4: Simplify right side
    260,035.69x = 170,240,410,404
  5. Step 5: Solve for x
    x = 170,240,410,404/260,035.69
  6. Step 6: Final answer
    x = 654,680.95

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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.