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Finding the Third Proportional to 339,636 and 726,829.50

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Solution

The third proportional to 339,636 and 726,829.50 is: 1,555,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,636 : 726,829.50 = 726,829.50 : x
  2. Step 2: Convert to fraction form
    339,636/726,829.50 = 726,829.50/x
  3. Step 3: Cross multiply
    339,636x = 726,829.50 × 726,829.50
  4. Step 4: Simplify right side
    339,636x = 528,281,122,070.25
  5. Step 5: Solve for x
    x = 528,281,122,070.25/339,636
  6. Step 6: Final answer
    x = 1,555,433.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.