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Finding the Third Proportional to 273,810.38 and 601,566.75

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Solution

The third proportional to 273,810.38 and 601,566.75 is: 1,321,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,810.38 : 601,566.75 = 601,566.75 : x
  2. Step 2: Convert to fraction form
    273,810.38/601,566.75 = 601,566.75/x
  3. Step 3: Cross multiply
    273,810.38x = 601,566.75 × 601,566.75
  4. Step 4: Simplify right side
    273,810.38x = 361,882,554,705.56
  5. Step 5: Solve for x
    x = 361,882,554,705.56/273,810.38
  6. Step 6: Final answer
    x = 1,321,653.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.