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Finding the Third Proportional to 335,985 and 520,227

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Solution

The third proportional to 335,985 and 520,227 is: 805,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,985 : 520,227 = 520,227 : x
  2. Step 2: Convert to fraction form
    335,985/520,227 = 520,227/x
  3. Step 3: Cross multiply
    335,985x = 520,227 × 520,227
  4. Step 4: Simplify right side
    335,985x = 270,636,131,529
  5. Step 5: Solve for x
    x = 270,636,131,529/335,985
  6. Step 6: Final answer
    x = 805,500.64

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Why These Related Problems?

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