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Finding the Third Proportional to 305,997.75 and 668,720.81

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Solution

The third proportional to 305,997.75 and 668,720.81 is: 1,461,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,997.75 : 668,720.81 = 668,720.81 : x
  2. Step 2: Convert to fraction form
    305,997.75/668,720.81 = 668,720.81/x
  3. Step 3: Cross multiply
    305,997.75x = 668,720.81 × 668,720.81
  4. Step 4: Simplify right side
    305,997.75x = 447,187,525,070.66
  5. Step 5: Solve for x
    x = 447,187,525,070.66/305,997.75
  6. Step 6: Final answer
    x = 1,461,407.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.