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Finding the Third Proportional to 273,910 and 597,649

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Solution

The third proportional to 273,910 and 597,649 is: 1,304,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,910 : 597,649 = 597,649 : x
  2. Step 2: Convert to fraction form
    273,910/597,649 = 597,649/x
  3. Step 3: Cross multiply
    273,910x = 597,649 × 597,649
  4. Step 4: Simplify right side
    273,910x = 357,184,327,201
  5. Step 5: Solve for x
    x = 357,184,327,201/273,910
  6. Step 6: Final answer
    x = 1,304,020.76

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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.