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Finding the Third Proportional to 272,848.50 and 589,149

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Solution

The third proportional to 272,848.50 and 589,149 is: 1,272,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,848.50 : 589,149 = 589,149 : x
  2. Step 2: Convert to fraction form
    272,848.50/589,149 = 589,149/x
  3. Step 3: Cross multiply
    272,848.50x = 589,149 × 589,149
  4. Step 4: Simplify right side
    272,848.50x = 347,096,544,201
  5. Step 5: Solve for x
    x = 347,096,544,201/272,848.50
  6. Step 6: Final answer
    x = 1,272,121.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.