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Finding the Third Proportional to 333,579.50 and 491,546.25

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Solution

The third proportional to 333,579.50 and 491,546.25 is: 724,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,579.50 : 491,546.25 = 491,546.25 : x
  2. Step 2: Convert to fraction form
    333,579.50/491,546.25 = 491,546.25/x
  3. Step 3: Cross multiply
    333,579.50x = 491,546.25 × 491,546.25
  4. Step 4: Simplify right side
    333,579.50x = 241,617,715,889.06
  5. Step 5: Solve for x
    x = 241,617,715,889.06/333,579.50
  6. Step 6: Final answer
    x = 724,318.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.