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Finding the Third Proportional to 273,341.25 and 574,323.75

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Solution

The third proportional to 273,341.25 and 574,323.75 is: 1,206,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,341.25 : 574,323.75 = 574,323.75 : x
  2. Step 2: Convert to fraction form
    273,341.25/574,323.75 = 574,323.75/x
  3. Step 3: Cross multiply
    273,341.25x = 574,323.75 × 574,323.75
  4. Step 4: Simplify right side
    273,341.25x = 329,847,769,814.06
  5. Step 5: Solve for x
    x = 329,847,769,814.06/273,341.25
  6. Step 6: Final answer
    x = 1,206,725.18

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.