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Finding the Third Proportional to 321,570 and 706,198.50

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Solution

The third proportional to 321,570 and 706,198.50 is: 1,550,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,570 : 706,198.50 = 706,198.50 : x
  2. Step 2: Convert to fraction form
    321,570/706,198.50 = 706,198.50/x
  3. Step 3: Cross multiply
    321,570x = 706,198.50 × 706,198.50
  4. Step 4: Simplify right side
    321,570x = 498,716,321,402.25
  5. Step 5: Solve for x
    x = 498,716,321,402.25/321,570
  6. Step 6: Final answer
    x = 1,550,879.50

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