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Finding the Third Proportional to 335,882 and 520,050

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Solution

The third proportional to 335,882 and 520,050 is: 805,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,882 : 520,050 = 520,050 : x
  2. Step 2: Convert to fraction form
    335,882/520,050 = 520,050/x
  3. Step 3: Cross multiply
    335,882x = 520,050 × 520,050
  4. Step 4: Simplify right side
    335,882x = 270,452,002,500
  5. Step 5: Solve for x
    x = 270,452,002,500/335,882
  6. Step 6: Final answer
    x = 805,199.45

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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.