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Finding the Third Proportional to 340,983 and 534,944.25

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Solution

The third proportional to 340,983 and 534,944.25 is: 839,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,983 : 534,944.25 = 534,944.25 : x
  2. Step 2: Convert to fraction form
    340,983/534,944.25 = 534,944.25/x
  3. Step 3: Cross multiply
    340,983x = 534,944.25 × 534,944.25
  4. Step 4: Simplify right side
    340,983x = 286,165,350,608.06
  5. Step 5: Solve for x
    x = 286,165,350,608.06/340,983
  6. Step 6: Final answer
    x = 839,236.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.