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Finding the Third Proportional to 321,441.75 and 700,029

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Solution

The third proportional to 321,441.75 and 700,029 is: 1,524,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,441.75 : 700,029 = 700,029 : x
  2. Step 2: Convert to fraction form
    321,441.75/700,029 = 700,029/x
  3. Step 3: Cross multiply
    321,441.75x = 700,029 × 700,029
  4. Step 4: Simplify right side
    321,441.75x = 490,040,600,841
  5. Step 5: Solve for x
    x = 490,040,600,841/321,441.75
  6. Step 6: Final answer
    x = 1,524,508.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.