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Finding the Third Proportional to 339,633 and 719,725.50

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Solution

The third proportional to 339,633 and 719,725.50 is: 1,525,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,633 : 719,725.50 = 719,725.50 : x
  2. Step 2: Convert to fraction form
    339,633/719,725.50 = 719,725.50/x
  3. Step 3: Cross multiply
    339,633x = 719,725.50 × 719,725.50
  4. Step 4: Simplify right side
    339,633x = 518,004,795,350.25
  5. Step 5: Solve for x
    x = 518,004,795,350.25/339,633
  6. Step 6: Final answer
    x = 1,525,189.82

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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.