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Finding the Third Proportional to 451,998 and 683,825

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Solution

The third proportional to 451,998 and 683,825 is: 1,034,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,998 : 683,825 = 683,825 : x
  2. Step 2: Convert to fraction form
    451,998/683,825 = 683,825/x
  3. Step 3: Cross multiply
    451,998x = 683,825 × 683,825
  4. Step 4: Simplify right side
    451,998x = 467,616,630,625
  5. Step 5: Solve for x
    x = 467,616,630,625/451,998
  6. Step 6: Final answer
    x = 1,034,554.65

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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.