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Finding the Third Proportional to 272,765 and 366,912

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Solution

The third proportional to 272,765 and 366,912 is: 493,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,765 : 366,912 = 366,912 : x
  2. Step 2: Convert to fraction form
    272,765/366,912 = 366,912/x
  3. Step 3: Cross multiply
    272,765x = 366,912 × 366,912
  4. Step 4: Simplify right side
    272,765x = 134,624,415,744
  5. Step 5: Solve for x
    x = 134,624,415,744/272,765
  6. Step 6: Final answer
    x = 493,554.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.