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Finding the Third Proportional to 335,890 and 520,062

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Solution

The third proportional to 335,890 and 520,062 is: 805,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,890 : 520,062 = 520,062 : x
  2. Step 2: Convert to fraction form
    335,890/520,062 = 520,062/x
  3. Step 3: Cross multiply
    335,890x = 520,062 × 520,062
  4. Step 4: Simplify right side
    335,890x = 270,464,483,844
  5. Step 5: Solve for x
    x = 270,464,483,844/335,890
  6. Step 6: Final answer
    x = 805,217.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.