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Finding the Third Proportional to 510,189 and 796,297.50

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Solution

The third proportional to 510,189 and 796,297.50 is: 1,242,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,189 : 796,297.50 = 796,297.50 : x
  2. Step 2: Convert to fraction form
    510,189/796,297.50 = 796,297.50/x
  3. Step 3: Cross multiply
    510,189x = 796,297.50 × 796,297.50
  4. Step 4: Simplify right side
    510,189x = 634,089,708,506.25
  5. Step 5: Solve for x
    x = 634,089,708,506.25/510,189
  6. Step 6: Final answer
    x = 1,242,852.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.