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Finding the Third Proportional to 558,097 and 835,903

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Solution

The third proportional to 558,097 and 835,903 is: 1,251,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,097 : 835,903 = 835,903 : x
  2. Step 2: Convert to fraction form
    558,097/835,903 = 835,903/x
  3. Step 3: Cross multiply
    558,097x = 835,903 × 835,903
  4. Step 4: Simplify right side
    558,097x = 698,733,825,409
  5. Step 5: Solve for x
    x = 698,733,825,409/558,097
  6. Step 6: Final answer
    x = 1,251,993.52

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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.