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Finding the Third Proportional to 272,683.69 and 585,846.56

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Solution

The third proportional to 272,683.69 and 585,846.56 is: 1,258,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,683.69 : 585,846.56 = 585,846.56 : x
  2. Step 2: Convert to fraction form
    272,683.69/585,846.56 = 585,846.56/x
  3. Step 3: Cross multiply
    272,683.69x = 585,846.56 × 585,846.56
  4. Step 4: Simplify right side
    272,683.69x = 343,216,194,793.07
  5. Step 5: Solve for x
    x = 343,216,194,793.07/272,683.69
  6. Step 6: Final answer
    x = 1,258,660.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.