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Finding the Third Proportional to 454,077 and 681,115.50

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Solution

The third proportional to 454,077 and 681,115.50 is: 1,021,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,077 : 681,115.50 = 681,115.50 : x
  2. Step 2: Convert to fraction form
    454,077/681,115.50 = 681,115.50/x
  3. Step 3: Cross multiply
    454,077x = 681,115.50 × 681,115.50
  4. Step 4: Simplify right side
    454,077x = 463,918,324,340.25
  5. Step 5: Solve for x
    x = 463,918,324,340.25/454,077
  6. Step 6: Final answer
    x = 1,021,673.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.