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Finding the Third Proportional to 239,689 and 520,120.50

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Solution

The third proportional to 239,689 and 520,120.50 is: 1,128,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,689 : 520,120.50 = 520,120.50 : x
  2. Step 2: Convert to fraction form
    239,689/520,120.50 = 520,120.50/x
  3. Step 3: Cross multiply
    239,689x = 520,120.50 × 520,120.50
  4. Step 4: Simplify right side
    239,689x = 270,525,334,520.25
  5. Step 5: Solve for x
    x = 270,525,334,520.25/239,689
  6. Step 6: Final answer
    x = 1,128,651.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.