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Finding the Third Proportional to 534,107.25 and 713,481.75

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Solution

The third proportional to 534,107.25 and 713,481.75 is: 953,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,107.25 : 713,481.75 = 713,481.75 : x
  2. Step 2: Convert to fraction form
    534,107.25/713,481.75 = 713,481.75/x
  3. Step 3: Cross multiply
    534,107.25x = 713,481.75 × 713,481.75
  4. Step 4: Simplify right side
    534,107.25x = 509,056,207,583.06
  5. Step 5: Solve for x
    x = 509,056,207,583.06/534,107.25
  6. Step 6: Final answer
    x = 953,097.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.