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Finding the Third Proportional to 304,701.75 and 648,771.75

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Solution

The third proportional to 304,701.75 and 648,771.75 is: 1,381,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,701.75 : 648,771.75 = 648,771.75 : x
  2. Step 2: Convert to fraction form
    304,701.75/648,771.75 = 648,771.75/x
  3. Step 3: Cross multiply
    304,701.75x = 648,771.75 × 648,771.75
  4. Step 4: Simplify right side
    304,701.75x = 420,904,783,598.06
  5. Step 5: Solve for x
    x = 420,904,783,598.06/304,701.75
  6. Step 6: Final answer
    x = 1,381,366.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.