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Finding the Third Proportional to 273,096 and 594,123

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Solution

The third proportional to 273,096 and 594,123 is: 1,292,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,096 : 594,123 = 594,123 : x
  2. Step 2: Convert to fraction form
    273,096/594,123 = 594,123/x
  3. Step 3: Cross multiply
    273,096x = 594,123 × 594,123
  4. Step 4: Simplify right side
    273,096x = 352,982,139,129
  5. Step 5: Solve for x
    x = 352,982,139,129/273,096
  6. Step 6: Final answer
    x = 1,292,520.36

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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.