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Finding the Third Proportional to 325,460.53 and 666,776.81

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Solution

The third proportional to 325,460.53 and 666,776.81 is: 1,366,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,460.53 : 666,776.81 = 666,776.81 : x
  2. Step 2: Convert to fraction form
    325,460.53/666,776.81 = 666,776.81/x
  3. Step 3: Cross multiply
    325,460.53x = 666,776.81 × 666,776.81
  4. Step 4: Simplify right side
    325,460.53x = 444,591,317,687.66
  5. Step 5: Solve for x
    x = 444,591,317,687.66/325,460.53
  6. Step 6: Final answer
    x = 1,366,037.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.