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Finding the Third Proportional to 273,566 and 400,899

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Solution

The third proportional to 273,566 and 400,899 is: 587,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,566 : 400,899 = 400,899 : x
  2. Step 2: Convert to fraction form
    273,566/400,899 = 400,899/x
  3. Step 3: Cross multiply
    273,566x = 400,899 × 400,899
  4. Step 4: Simplify right side
    273,566x = 160,720,008,201
  5. Step 5: Solve for x
    x = 160,720,008,201/273,566
  6. Step 6: Final answer
    x = 587,499.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.