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Finding the Third Proportional to 273,139 and 596,092

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Solution

The third proportional to 273,139 and 596,092 is: 1,300,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,139 : 596,092 = 596,092 : x
  2. Step 2: Convert to fraction form
    273,139/596,092 = 596,092/x
  3. Step 3: Cross multiply
    273,139x = 596,092 × 596,092
  4. Step 4: Simplify right side
    273,139x = 355,325,672,464
  5. Step 5: Solve for x
    x = 355,325,672,464/273,139
  6. Step 6: Final answer
    x = 1,300,896.88

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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.