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Finding the Third Proportional to 446,560 and 665,227

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Solution

The third proportional to 446,560 and 665,227 is: 990,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,560 : 665,227 = 665,227 : x
  2. Step 2: Convert to fraction form
    446,560/665,227 = 665,227/x
  3. Step 3: Cross multiply
    446,560x = 665,227 × 665,227
  4. Step 4: Simplify right side
    446,560x = 442,526,961,529
  5. Step 5: Solve for x
    x = 442,526,961,529/446,560
  6. Step 6: Final answer
    x = 990,968.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.