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Finding the Third Proportional to 466,645.50 and 741,996

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Solution

The third proportional to 466,645.50 and 741,996 is: 1,179,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,645.50 : 741,996 = 741,996 : x
  2. Step 2: Convert to fraction form
    466,645.50/741,996 = 741,996/x
  3. Step 3: Cross multiply
    466,645.50x = 741,996 × 741,996
  4. Step 4: Simplify right side
    466,645.50x = 550,558,064,016
  5. Step 5: Solve for x
    x = 550,558,064,016/466,645.50
  6. Step 6: Final answer
    x = 1,179,820.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.