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Finding the Third Proportional to 317,675.75 and 697,559.50

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Solution

The third proportional to 317,675.75 and 697,559.50 is: 1,531,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,675.75 : 697,559.50 = 697,559.50 : x
  2. Step 2: Convert to fraction form
    317,675.75/697,559.50 = 697,559.50/x
  3. Step 3: Cross multiply
    317,675.75x = 697,559.50 × 697,559.50
  4. Step 4: Simplify right side
    317,675.75x = 486,589,256,040.25
  5. Step 5: Solve for x
    x = 486,589,256,040.25/317,675.75
  6. Step 6: Final answer
    x = 1,531,716.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.