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Finding the Third Proportional to 454,613 and 681,919.50

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Solution

The third proportional to 454,613 and 681,919.50 is: 1,022,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,613 : 681,919.50 = 681,919.50 : x
  2. Step 2: Convert to fraction form
    454,613/681,919.50 = 681,919.50/x
  3. Step 3: Cross multiply
    454,613x = 681,919.50 × 681,919.50
  4. Step 4: Simplify right side
    454,613x = 465,014,204,480.25
  5. Step 5: Solve for x
    x = 465,014,204,480.25/454,613
  6. Step 6: Final answer
    x = 1,022,879.25

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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.