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Finding the Third Proportional to 339,534 and 719,542.50

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Solution

The third proportional to 339,534 and 719,542.50 is: 1,524,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,534 : 719,542.50 = 719,542.50 : x
  2. Step 2: Convert to fraction form
    339,534/719,542.50 = 719,542.50/x
  3. Step 3: Cross multiply
    339,534x = 719,542.50 × 719,542.50
  4. Step 4: Simplify right side
    339,534x = 517,741,409,306.25
  5. Step 5: Solve for x
    x = 517,741,409,306.25/339,534
  6. Step 6: Final answer
    x = 1,524,858.80

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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.