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Finding the Third Proportional to 517,333 and 798,149

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Solution

The third proportional to 517,333 and 798,149 is: 1,231,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,333 : 798,149 = 798,149 : x
  2. Step 2: Convert to fraction form
    517,333/798,149 = 798,149/x
  3. Step 3: Cross multiply
    517,333x = 798,149 × 798,149
  4. Step 4: Simplify right side
    517,333x = 637,041,826,201
  5. Step 5: Solve for x
    x = 637,041,826,201/517,333
  6. Step 6: Final answer
    x = 1,231,396.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.