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Finding the Third Proportional to 306,774.75 and 659,088.75

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Solution

The third proportional to 306,774.75 and 659,088.75 is: 1,416,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,774.75 : 659,088.75 = 659,088.75 : x
  2. Step 2: Convert to fraction form
    306,774.75/659,088.75 = 659,088.75/x
  3. Step 3: Cross multiply
    306,774.75x = 659,088.75 × 659,088.75
  4. Step 4: Simplify right side
    306,774.75x = 434,397,980,376.56
  5. Step 5: Solve for x
    x = 434,397,980,376.56/306,774.75
  6. Step 6: Final answer
    x = 1,416,016.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.