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Finding the Third Proportional to 428,429.25 and 930,611.25

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Solution

The third proportional to 428,429.25 and 930,611.25 is: 2,021,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,429.25 : 930,611.25 = 930,611.25 : x
  2. Step 2: Convert to fraction form
    428,429.25/930,611.25 = 930,611.25/x
  3. Step 3: Cross multiply
    428,429.25x = 930,611.25 × 930,611.25
  4. Step 4: Simplify right side
    428,429.25x = 866,037,298,626.56
  5. Step 5: Solve for x
    x = 866,037,298,626.56/428,429.25
  6. Step 6: Final answer
    x = 2,021,424.30

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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.