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Finding the Third Proportional to 282,611.25 and 614,308.50

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Solution

The third proportional to 282,611.25 and 614,308.50 is: 1,335,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,611.25 : 614,308.50 = 614,308.50 : x
  2. Step 2: Convert to fraction form
    282,611.25/614,308.50 = 614,308.50/x
  3. Step 3: Cross multiply
    282,611.25x = 614,308.50 × 614,308.50
  4. Step 4: Simplify right side
    282,611.25x = 377,374,933,172.25
  5. Step 5: Solve for x
    x = 377,374,933,172.25/282,611.25
  6. Step 6: Final answer
    x = 1,335,314.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.