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Finding the Third Proportional to 273,100 and 594,072

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Solution

The third proportional to 273,100 and 594,072 is: 1,292,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,100 : 594,072 = 594,072 : x
  2. Step 2: Convert to fraction form
    273,100/594,072 = 594,072/x
  3. Step 3: Cross multiply
    273,100x = 594,072 × 594,072
  4. Step 4: Simplify right side
    273,100x = 352,921,541,184
  5. Step 5: Solve for x
    x = 352,921,541,184/273,100
  6. Step 6: Final answer
    x = 1,292,279.54

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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.