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Finding the Third Proportional to 446,200 and 679,755

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Solution

The third proportional to 446,200 and 679,755 is: 1,035,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,200 : 679,755 = 679,755 : x
  2. Step 2: Convert to fraction form
    446,200/679,755 = 679,755/x
  3. Step 3: Cross multiply
    446,200x = 679,755 × 679,755
  4. Step 4: Simplify right side
    446,200x = 462,066,860,025
  5. Step 5: Solve for x
    x = 462,066,860,025/446,200
  6. Step 6: Final answer
    x = 1,035,559.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.