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Finding the Third Proportional to 451,998 and 683,827.88

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Solution

The third proportional to 451,998 and 683,827.88 is: 1,034,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,998 : 683,827.88 = 683,827.88 : x
  2. Step 2: Convert to fraction form
    451,998/683,827.88 = 683,827.88/x
  3. Step 3: Cross multiply
    451,998x = 683,827.88 × 683,827.88
  4. Step 4: Simplify right side
    451,998x = 467,620,562,627.02
  5. Step 5: Solve for x
    x = 467,620,562,627.02/451,998
  6. Step 6: Final answer
    x = 1,034,563.34

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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.