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Finding the Third Proportional to 274,049 and 597,769

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Solution

The third proportional to 274,049 and 597,769 is: 1,303,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,049 : 597,769 = 597,769 : x
  2. Step 2: Convert to fraction form
    274,049/597,769 = 597,769/x
  3. Step 3: Cross multiply
    274,049x = 597,769 × 597,769
  4. Step 4: Simplify right side
    274,049x = 357,327,777,361
  5. Step 5: Solve for x
    x = 357,327,777,361/274,049
  6. Step 6: Final answer
    x = 1,303,882.80

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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.