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Finding the Third Proportional to 275,672 and 593,581

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Solution

The third proportional to 275,672 and 593,581 is: 1,278,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,672 : 593,581 = 593,581 : x
  2. Step 2: Convert to fraction form
    275,672/593,581 = 593,581/x
  3. Step 3: Cross multiply
    275,672x = 593,581 × 593,581
  4. Step 4: Simplify right side
    275,672x = 352,338,403,561
  5. Step 5: Solve for x
    x = 352,338,403,561/275,672
  6. Step 6: Final answer
    x = 1,278,107.33

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Why These Related Problems?

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