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Finding the Third Proportional to 517,204 and 798,558

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Solution

The third proportional to 517,204 and 798,558 is: 1,232,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,204 : 798,558 = 798,558 : x
  2. Step 2: Convert to fraction form
    517,204/798,558 = 798,558/x
  3. Step 3: Cross multiply
    517,204x = 798,558 × 798,558
  4. Step 4: Simplify right side
    517,204x = 637,694,879,364
  5. Step 5: Solve for x
    x = 637,694,879,364/517,204
  6. Step 6: Final answer
    x = 1,232,965.87

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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.