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Finding the Third Proportional to 272,796 and 592,809

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Solution

The third proportional to 272,796 and 592,809 is: 1,288,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,796 : 592,809 = 592,809 : x
  2. Step 2: Convert to fraction form
    272,796/592,809 = 592,809/x
  3. Step 3: Cross multiply
    272,796x = 592,809 × 592,809
  4. Step 4: Simplify right side
    272,796x = 351,422,510,481
  5. Step 5: Solve for x
    x = 351,422,510,481/272,796
  6. Step 6: Final answer
    x = 1,288,224.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.