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Finding the Third Proportional to 274,496.98 and 594,812.74

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Solution

The third proportional to 274,496.98 and 594,812.74 is: 1,288,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,496.98 : 594,812.74 = 594,812.74 : x
  2. Step 2: Convert to fraction form
    274,496.98/594,812.74 = 594,812.74/x
  3. Step 3: Cross multiply
    274,496.98x = 594,812.74 × 594,812.74
  4. Step 4: Simplify right side
    274,496.98x = 353,802,198,268.61
  5. Step 5: Solve for x
    x = 353,802,198,268.61/274,496.98
  6. Step 6: Final answer
    x = 1,288,911.09

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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.