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Finding the Third Proportional to 335,906 and 520,085

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Solution

The third proportional to 335,906 and 520,085 is: 805,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,906 : 520,085 = 520,085 : x
  2. Step 2: Convert to fraction form
    335,906/520,085 = 520,085/x
  3. Step 3: Cross multiply
    335,906x = 520,085 × 520,085
  4. Step 4: Simplify right side
    335,906x = 270,488,407,225
  5. Step 5: Solve for x
    x = 270,488,407,225/335,906
  6. Step 6: Final answer
    x = 805,250.30

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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.