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Finding the Third Proportional to 335,896 and 520,072

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Solution

The third proportional to 335,896 and 520,072 is: 805,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,896 : 520,072 = 520,072 : x
  2. Step 2: Convert to fraction form
    335,896/520,072 = 520,072/x
  3. Step 3: Cross multiply
    335,896x = 520,072 × 520,072
  4. Step 4: Simplify right side
    335,896x = 270,474,885,184
  5. Step 5: Solve for x
    x = 270,474,885,184/335,896
  6. Step 6: Final answer
    x = 805,234.02

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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.