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Finding the Third Proportional to 451,616.06 and 660,466.69

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Solution

The third proportional to 451,616.06 and 660,466.69 is: 965,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,616.06 : 660,466.69 = 660,466.69 : x
  2. Step 2: Convert to fraction form
    451,616.06/660,466.69 = 660,466.69/x
  3. Step 3: Cross multiply
    451,616.06x = 660,466.69 × 660,466.69
  4. Step 4: Simplify right side
    451,616.06x = 436,216,245,297.22
  5. Step 5: Solve for x
    x = 436,216,245,297.22/451,616.06
  6. Step 6: Final answer
    x = 965,900.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.