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Finding the Third Proportional to 335,914 and 520,098

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Solution

The third proportional to 335,914 and 520,098 is: 805,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,914 : 520,098 = 520,098 : x
  2. Step 2: Convert to fraction form
    335,914/520,098 = 520,098/x
  3. Step 3: Cross multiply
    335,914x = 520,098 × 520,098
  4. Step 4: Simplify right side
    335,914x = 270,501,929,604
  5. Step 5: Solve for x
    x = 270,501,929,604/335,914
  6. Step 6: Final answer
    x = 805,271.38

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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.