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Finding the Third Proportional to 274,476.09 and 410,256.14

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Solution

The third proportional to 274,476.09 and 410,256.14 is: 613,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,476.09 : 410,256.14 = 410,256.14 : x
  2. Step 2: Convert to fraction form
    274,476.09/410,256.14 = 410,256.14/x
  3. Step 3: Cross multiply
    274,476.09x = 410,256.14 × 410,256.14
  4. Step 4: Simplify right side
    274,476.09x = 168,310,100,920.52
  5. Step 5: Solve for x
    x = 168,310,100,920.52/274,476.09
  6. Step 6: Final answer
    x = 613,204.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.