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Finding the Third Proportional to 353,986 and 530,878

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Solution

The third proportional to 353,986 and 530,878 is: 796,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,986 : 530,878 = 530,878 : x
  2. Step 2: Convert to fraction form
    353,986/530,878 = 530,878/x
  3. Step 3: Cross multiply
    353,986x = 530,878 × 530,878
  4. Step 4: Simplify right side
    353,986x = 281,831,450,884
  5. Step 5: Solve for x
    x = 281,831,450,884/353,986
  6. Step 6: Final answer
    x = 796,165.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.