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Finding the Third Proportional to 410,933.25 and 559,811.25

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Solution

The third proportional to 410,933.25 and 559,811.25 is: 762,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,933.25 : 559,811.25 = 559,811.25 : x
  2. Step 2: Convert to fraction form
    410,933.25/559,811.25 = 559,811.25/x
  3. Step 3: Cross multiply
    410,933.25x = 559,811.25 × 559,811.25
  4. Step 4: Simplify right side
    410,933.25x = 313,388,635,626.56
  5. Step 5: Solve for x
    x = 313,388,635,626.56/410,933.25
  6. Step 6: Final answer
    x = 762,626.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.