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Finding the Third Proportional to 272,780 and 366,935

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Solution

The third proportional to 272,780 and 366,935 is: 493,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,780 : 366,935 = 366,935 : x
  2. Step 2: Convert to fraction form
    272,780/366,935 = 366,935/x
  3. Step 3: Cross multiply
    272,780x = 366,935 × 366,935
  4. Step 4: Simplify right side
    272,780x = 134,641,294,225
  5. Step 5: Solve for x
    x = 134,641,294,225/272,780
  6. Step 6: Final answer
    x = 493,589.32

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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.