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Finding the Third Proportional to 280,227 and 446,114

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Solution

The third proportional to 280,227 and 446,114 is: 710,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,227 : 446,114 = 446,114 : x
  2. Step 2: Convert to fraction form
    280,227/446,114 = 446,114/x
  3. Step 3: Cross multiply
    280,227x = 446,114 × 446,114
  4. Step 4: Simplify right side
    280,227x = 199,017,700,996
  5. Step 5: Solve for x
    x = 199,017,700,996/280,227
  6. Step 6: Final answer
    x = 710,201.73

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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.