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Finding the Third Proportional to 335,728.50 and 520,611.75

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Solution

The third proportional to 335,728.50 and 520,611.75 is: 807,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,728.50 : 520,611.75 = 520,611.75 : x
  2. Step 2: Convert to fraction form
    335,728.50/520,611.75 = 520,611.75/x
  3. Step 3: Cross multiply
    335,728.50x = 520,611.75 × 520,611.75
  4. Step 4: Simplify right side
    335,728.50x = 271,036,594,238.06
  5. Step 5: Solve for x
    x = 271,036,594,238.06/335,728.50
  6. Step 6: Final answer
    x = 807,308.86

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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.