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Finding the Third Proportional to 273,100 and 594,132

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Solution

The third proportional to 273,100 and 594,132 is: 1,292,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,100 : 594,132 = 594,132 : x
  2. Step 2: Convert to fraction form
    273,100/594,132 = 594,132/x
  3. Step 3: Cross multiply
    273,100x = 594,132 × 594,132
  4. Step 4: Simplify right side
    273,100x = 352,992,833,424
  5. Step 5: Solve for x
    x = 352,992,833,424/273,100
  6. Step 6: Final answer
    x = 1,292,540.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.