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Finding the Third Proportional to 211,687.13 and 456,611.25

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Solution

The third proportional to 211,687.13 and 456,611.25 is: 984,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,687.13 : 456,611.25 = 456,611.25 : x
  2. Step 2: Convert to fraction form
    211,687.13/456,611.25 = 456,611.25/x
  3. Step 3: Cross multiply
    211,687.13x = 456,611.25 × 456,611.25
  4. Step 4: Simplify right side
    211,687.13x = 208,493,833,626.56
  5. Step 5: Solve for x
    x = 208,493,833,626.56/211,687.13
  6. Step 6: Final answer
    x = 984,915.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.