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Finding the Third Proportional to 321,699.94 and 635,325.19

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Solution

The third proportional to 321,699.94 and 635,325.19 is: 1,254,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,699.94 : 635,325.19 = 635,325.19 : x
  2. Step 2: Convert to fraction form
    321,699.94/635,325.19 = 635,325.19/x
  3. Step 3: Cross multiply
    321,699.94x = 635,325.19 × 635,325.19
  4. Step 4: Simplify right side
    321,699.94x = 403,638,093,871.91
  5. Step 5: Solve for x
    x = 403,638,093,871.91/321,699.94
  6. Step 6: Final answer
    x = 1,254,703.68

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.