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Finding the Third Proportional to 447,383.25 and 677,590.88

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Solution

The third proportional to 447,383.25 and 677,590.88 is: 1,026,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,383.25 : 677,590.88 = 677,590.88 : x
  2. Step 2: Convert to fraction form
    447,383.25/677,590.88 = 677,590.88/x
  3. Step 3: Cross multiply
    447,383.25x = 677,590.88 × 677,590.88
  4. Step 4: Simplify right side
    447,383.25x = 459,129,393,883.27
  5. Step 5: Solve for x
    x = 459,129,393,883.27/447,383.25
  6. Step 6: Final answer
    x = 1,026,255.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.