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Finding the Third Proportional to 346,029.75 and 743,791.50

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Solution

The third proportional to 346,029.75 and 743,791.50 is: 1,598,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,029.75 : 743,791.50 = 743,791.50 : x
  2. Step 2: Convert to fraction form
    346,029.75/743,791.50 = 743,791.50/x
  3. Step 3: Cross multiply
    346,029.75x = 743,791.50 × 743,791.50
  4. Step 4: Simplify right side
    346,029.75x = 553,225,795,472.25
  5. Step 5: Solve for x
    x = 553,225,795,472.25/346,029.75
  6. Step 6: Final answer
    x = 1,598,781.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.