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Finding the Third Proportional to 321,539.63 and 679,164.75

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Solution

The third proportional to 321,539.63 and 679,164.75 is: 1,434,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,539.63 : 679,164.75 = 679,164.75 : x
  2. Step 2: Convert to fraction form
    321,539.63/679,164.75 = 679,164.75/x
  3. Step 3: Cross multiply
    321,539.63x = 679,164.75 × 679,164.75
  4. Step 4: Simplify right side
    321,539.63x = 461,264,757,642.56
  5. Step 5: Solve for x
    x = 461,264,757,642.56/321,539.63
  6. Step 6: Final answer
    x = 1,434,550.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.