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Finding the Third Proportional to 214,922.25 and 440,617.50

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Solution

The third proportional to 214,922.25 and 440,617.50 is: 903,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,922.25 : 440,617.50 = 440,617.50 : x
  2. Step 2: Convert to fraction form
    214,922.25/440,617.50 = 440,617.50/x
  3. Step 3: Cross multiply
    214,922.25x = 440,617.50 × 440,617.50
  4. Step 4: Simplify right side
    214,922.25x = 194,143,781,306.25
  5. Step 5: Solve for x
    x = 194,143,781,306.25/214,922.25
  6. Step 6: Final answer
    x = 903,321.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.