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Finding the Third Proportional to 451,621.69 and 660,477.38

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Solution

The third proportional to 451,621.69 and 660,477.38 is: 965,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,621.69 : 660,477.38 = 660,477.38 : x
  2. Step 2: Convert to fraction form
    451,621.69/660,477.38 = 660,477.38/x
  3. Step 3: Cross multiply
    451,621.69x = 660,477.38 × 660,477.38
  4. Step 4: Simplify right side
    451,621.69x = 436,230,362,886.89
  5. Step 5: Solve for x
    x = 436,230,362,886.89/451,621.69
  6. Step 6: Final answer
    x = 965,919.87

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