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Finding the Third Proportional to 491,665.50 and 741,993.75

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Solution

The third proportional to 491,665.50 and 741,993.75 is: 1,119,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,665.50 : 741,993.75 = 741,993.75 : x
  2. Step 2: Convert to fraction form
    491,665.50/741,993.75 = 741,993.75/x
  3. Step 3: Cross multiply
    491,665.50x = 741,993.75 × 741,993.75
  4. Step 4: Simplify right side
    491,665.50x = 550,554,725,039.06
  5. Step 5: Solve for x
    x = 550,554,725,039.06/491,665.50
  6. Step 6: Final answer
    x = 1,119,774.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.