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Finding the Third Proportional to 262,743.75 and 574,563.38

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Solution

The third proportional to 262,743.75 and 574,563.38 is: 1,256,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,743.75 : 574,563.38 = 574,563.38 : x
  2. Step 2: Convert to fraction form
    262,743.75/574,563.38 = 574,563.38/x
  3. Step 3: Cross multiply
    262,743.75x = 574,563.38 × 574,563.38
  4. Step 4: Simplify right side
    262,743.75x = 330,123,071,891.39
  5. Step 5: Solve for x
    x = 330,123,071,891.39/262,743.75
  6. Step 6: Final answer
    x = 1,256,445.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.