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Finding the Third Proportional to 339,643.13 and 719,745.75

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Solution

The third proportional to 339,643.13 and 719,745.75 is: 1,525,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,643.13 : 719,745.75 = 719,745.75 : x
  2. Step 2: Convert to fraction form
    339,643.13/719,745.75 = 719,745.75/x
  3. Step 3: Cross multiply
    339,643.13x = 719,745.75 × 719,745.75
  4. Step 4: Simplify right side
    339,643.13x = 518,033,944,643.06
  5. Step 5: Solve for x
    x = 518,033,944,643.06/339,643.13
  6. Step 6: Final answer
    x = 1,525,230.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.