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Finding the Third Proportional to 273,093 and 559,308

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Solution

The third proportional to 273,093 and 559,308 is: 1,145,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,093 : 559,308 = 559,308 : x
  2. Step 2: Convert to fraction form
    273,093/559,308 = 559,308/x
  3. Step 3: Cross multiply
    273,093x = 559,308 × 559,308
  4. Step 4: Simplify right side
    273,093x = 312,825,438,864
  5. Step 5: Solve for x
    x = 312,825,438,864/273,093
  6. Step 6: Final answer
    x = 1,145,490.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.