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Finding the Third Proportional to 280,224.56 and 446,110.88

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Solution

The third proportional to 280,224.56 and 446,110.88 is: 710,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,224.56 : 446,110.88 = 446,110.88 : x
  2. Step 2: Convert to fraction form
    280,224.56/446,110.88 = 446,110.88/x
  3. Step 3: Cross multiply
    280,224.56x = 446,110.88 × 446,110.88
  4. Step 4: Simplify right side
    280,224.56x = 199,014,912,793.27
  5. Step 5: Solve for x
    x = 199,014,912,793.27/280,224.56
  6. Step 6: Final answer
    x = 710,197.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.