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Finding the Third Proportional to 273,934 and 597,693

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Solution

The third proportional to 273,934 and 597,693 is: 1,304,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,934 : 597,693 = 597,693 : x
  2. Step 2: Convert to fraction form
    273,934/597,693 = 597,693/x
  3. Step 3: Cross multiply
    273,934x = 597,693 × 597,693
  4. Step 4: Simplify right side
    273,934x = 357,236,922,249
  5. Step 5: Solve for x
    x = 357,236,922,249/273,934
  6. Step 6: Final answer
    x = 1,304,098.51

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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.