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Finding the Third Proportional to 244,869.75 and 514,527.75

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Solution

The third proportional to 244,869.75 and 514,527.75 is: 1,081,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,869.75 : 514,527.75 = 514,527.75 : x
  2. Step 2: Convert to fraction form
    244,869.75/514,527.75 = 514,527.75/x
  3. Step 3: Cross multiply
    244,869.75x = 514,527.75 × 514,527.75
  4. Step 4: Simplify right side
    244,869.75x = 264,738,805,520.06
  5. Step 5: Solve for x
    x = 264,738,805,520.06/244,869.75
  6. Step 6: Final answer
    x = 1,081,141.32

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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.