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Finding the Third Proportional to 275,891.06 and 589,204.13

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Solution

The third proportional to 275,891.06 and 589,204.13 is: 1,258,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,891.06 : 589,204.13 = 589,204.13 : x
  2. Step 2: Convert to fraction form
    275,891.06/589,204.13 = 589,204.13/x
  3. Step 3: Cross multiply
    275,891.06x = 589,204.13 × 589,204.13
  4. Step 4: Simplify right side
    275,891.06x = 347,161,500,917.02
  5. Step 5: Solve for x
    x = 347,161,500,917.02/275,891.06
  6. Step 6: Final answer
    x = 1,258,328.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.