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Finding the Third Proportional to 321,324.50 and 705,693

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Solution

The third proportional to 321,324.50 and 705,693 is: 1,549,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,324.50 : 705,693 = 705,693 : x
  2. Step 2: Convert to fraction form
    321,324.50/705,693 = 705,693/x
  3. Step 3: Cross multiply
    321,324.50x = 705,693 × 705,693
  4. Step 4: Simplify right side
    321,324.50x = 498,002,610,249
  5. Step 5: Solve for x
    x = 498,002,610,249/321,324.50
  6. Step 6: Final answer
    x = 1,549,843.26

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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.