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Finding the Third Proportional to 273,912 and 597,653

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Solution

The third proportional to 273,912 and 597,653 is: 1,304,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,912 : 597,653 = 597,653 : x
  2. Step 2: Convert to fraction form
    273,912/597,653 = 597,653/x
  3. Step 3: Cross multiply
    273,912x = 597,653 × 597,653
  4. Step 4: Simplify right side
    273,912x = 357,189,108,409
  5. Step 5: Solve for x
    x = 357,189,108,409/273,912
  6. Step 6: Final answer
    x = 1,304,028.70

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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.