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Finding the Third Proportional to 384,446.25 and 582,410.25

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Solution

The third proportional to 384,446.25 and 582,410.25 is: 882,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,446.25 : 582,410.25 = 582,410.25 : x
  2. Step 2: Convert to fraction form
    384,446.25/582,410.25 = 582,410.25/x
  3. Step 3: Cross multiply
    384,446.25x = 582,410.25 × 582,410.25
  4. Step 4: Simplify right side
    384,446.25x = 339,201,699,305.06
  5. Step 5: Solve for x
    x = 339,201,699,305.06/384,446.25
  6. Step 6: Final answer
    x = 882,312.42

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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.