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Finding the Third Proportional to 340,251.75 and 742,830.75

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Solution

The third proportional to 340,251.75 and 742,830.75 is: 1,621,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,251.75 : 742,830.75 = 742,830.75 : x
  2. Step 2: Convert to fraction form
    340,251.75/742,830.75 = 742,830.75/x
  3. Step 3: Cross multiply
    340,251.75x = 742,830.75 × 742,830.75
  4. Step 4: Simplify right side
    340,251.75x = 551,797,523,145.56
  5. Step 5: Solve for x
    x = 551,797,523,145.56/340,251.75
  6. Step 6: Final answer
    x = 1,621,733.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.