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Finding the Third Proportional to 321,935.13 and 512,454.09

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Solution

The third proportional to 321,935.13 and 512,454.09 is: 815,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,935.13 : 512,454.09 = 512,454.09 : x
  2. Step 2: Convert to fraction form
    321,935.13/512,454.09 = 512,454.09/x
  3. Step 3: Cross multiply
    321,935.13x = 512,454.09 × 512,454.09
  4. Step 4: Simplify right side
    321,935.13x = 262,609,198,201.13
  5. Step 5: Solve for x
    x = 262,609,198,201.13/321,935.13
  6. Step 6: Final answer
    x = 815,720.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.