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Finding the Third Proportional to 217,814 and 326,810

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Solution

The third proportional to 217,814 and 326,810 is: 490,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,814 : 326,810 = 326,810 : x
  2. Step 2: Convert to fraction form
    217,814/326,810 = 326,810/x
  3. Step 3: Cross multiply
    217,814x = 326,810 × 326,810
  4. Step 4: Simplify right side
    217,814x = 106,804,776,100
  5. Step 5: Solve for x
    x = 106,804,776,100/217,814
  6. Step 6: Final answer
    x = 490,348.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.