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Finding the Third Proportional to 451,662.75 and 700,188.75

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Solution

The third proportional to 451,662.75 and 700,188.75 is: 1,085,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,662.75 : 700,188.75 = 700,188.75 : x
  2. Step 2: Convert to fraction form
    451,662.75/700,188.75 = 700,188.75/x
  3. Step 3: Cross multiply
    451,662.75x = 700,188.75 × 700,188.75
  4. Step 4: Simplify right side
    451,662.75x = 490,264,285,626.56
  5. Step 5: Solve for x
    x = 490,264,285,626.56/451,662.75
  6. Step 6: Final answer
    x = 1,085,465.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.