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Finding the Third Proportional to 274,610 and 594,892

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Solution

The third proportional to 274,610 and 594,892 is: 1,288,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,610 : 594,892 = 594,892 : x
  2. Step 2: Convert to fraction form
    274,610/594,892 = 594,892/x
  3. Step 3: Cross multiply
    274,610x = 594,892 × 594,892
  4. Step 4: Simplify right side
    274,610x = 353,896,491,664
  5. Step 5: Solve for x
    x = 353,896,491,664/274,610
  6. Step 6: Final answer
    x = 1,288,723.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.