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Finding the Third Proportional to 280,015.50 and 434,307

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Solution

The third proportional to 280,015.50 and 434,307 is: 673,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,015.50 : 434,307 = 434,307 : x
  2. Step 2: Convert to fraction form
    280,015.50/434,307 = 434,307/x
  3. Step 3: Cross multiply
    280,015.50x = 434,307 × 434,307
  4. Step 4: Simplify right side
    280,015.50x = 188,622,570,249
  5. Step 5: Solve for x
    x = 188,622,570,249/280,015.50
  6. Step 6: Final answer
    x = 673,614.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.