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Finding the Third Proportional to 214,474.50 and 446,712.75

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Solution

The third proportional to 214,474.50 and 446,712.75 is: 930,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,474.50 : 446,712.75 = 446,712.75 : x
  2. Step 2: Convert to fraction form
    214,474.50/446,712.75 = 446,712.75/x
  3. Step 3: Cross multiply
    214,474.50x = 446,712.75 × 446,712.75
  4. Step 4: Simplify right side
    214,474.50x = 199,552,281,012.56
  5. Step 5: Solve for x
    x = 199,552,281,012.56/214,474.50
  6. Step 6: Final answer
    x = 930,424.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.