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Finding the Third Proportional to 323,769 and 485,653.50

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Solution

The third proportional to 323,769 and 485,653.50 is: 728,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,769 : 485,653.50 = 485,653.50 : x
  2. Step 2: Convert to fraction form
    323,769/485,653.50 = 485,653.50/x
  3. Step 3: Cross multiply
    323,769x = 485,653.50 × 485,653.50
  4. Step 4: Simplify right side
    323,769x = 235,859,322,062.25
  5. Step 5: Solve for x
    x = 235,859,322,062.25/323,769
  6. Step 6: Final answer
    x = 728,480.25

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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.