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Finding the Third Proportional to 213,527.25 and 437,712.75

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Solution

The third proportional to 213,527.25 and 437,712.75 is: 897,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,527.25 : 437,712.75 = 437,712.75 : x
  2. Step 2: Convert to fraction form
    213,527.25/437,712.75 = 437,712.75/x
  3. Step 3: Cross multiply
    213,527.25x = 437,712.75 × 437,712.75
  4. Step 4: Simplify right side
    213,527.25x = 191,592,451,512.56
  5. Step 5: Solve for x
    x = 191,592,451,512.56/213,527.25
  6. Step 6: Final answer
    x = 897,274.01

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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.