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Finding the Third Proportional to 335,894 and 520,069

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Solution

The third proportional to 335,894 and 520,069 is: 805,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,894 : 520,069 = 520,069 : x
  2. Step 2: Convert to fraction form
    335,894/520,069 = 520,069/x
  3. Step 3: Cross multiply
    335,894x = 520,069 × 520,069
  4. Step 4: Simplify right side
    335,894x = 270,471,764,761
  5. Step 5: Solve for x
    x = 270,471,764,761/335,894
  6. Step 6: Final answer
    x = 805,229.52

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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.