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Finding the Third Proportional to 299,086.25 and 459,717

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Solution

The third proportional to 299,086.25 and 459,717 is: 706,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,086.25 : 459,717 = 459,717 : x
  2. Step 2: Convert to fraction form
    299,086.25/459,717 = 459,717/x
  3. Step 3: Cross multiply
    299,086.25x = 459,717 × 459,717
  4. Step 4: Simplify right side
    299,086.25x = 211,339,720,089
  5. Step 5: Solve for x
    x = 211,339,720,089/299,086.25
  6. Step 6: Final answer
    x = 706,617.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.