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Finding the Third Proportional to 530,375.75 and 1,180,797.75

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Solution

The third proportional to 530,375.75 and 1,180,797.75 is: 2,628,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,375.75 : 1,180,797.75 = 1,180,797.75 : x
  2. Step 2: Convert to fraction form
    530,375.75/1,180,797.75 = 1,180,797.75/x
  3. Step 3: Cross multiply
    530,375.75x = 1,180,797.75 × 1,180,797.75
  4. Step 4: Simplify right side
    530,375.75x = 1,394,283,326,405.06
  5. Step 5: Solve for x
    x = 1,394,283,326,405.06/530,375.75
  6. Step 6: Final answer
    x = 2,628,859.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.