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Finding the Third Proportional to 450,234.75 and 800,642.25

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Solution

The third proportional to 450,234.75 and 800,642.25 is: 1,423,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,234.75 : 800,642.25 = 800,642.25 : x
  2. Step 2: Convert to fraction form
    450,234.75/800,642.25 = 800,642.25/x
  3. Step 3: Cross multiply
    450,234.75x = 800,642.25 × 800,642.25
  4. Step 4: Simplify right side
    450,234.75x = 641,028,012,485.06
  5. Step 5: Solve for x
    x = 641,028,012,485.06/450,234.75
  6. Step 6: Final answer
    x = 1,423,763.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.