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Finding the Third Proportional to 340,257.38 and 742,773.38

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Solution

The third proportional to 340,257.38 and 742,773.38 is: 1,621,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,257.38 : 742,773.38 = 742,773.38 : x
  2. Step 2: Convert to fraction form
    340,257.38/742,773.38 = 742,773.38/x
  3. Step 3: Cross multiply
    340,257.38x = 742,773.38 × 742,773.38
  4. Step 4: Simplify right side
    340,257.38x = 551,712,286,608.89
  5. Step 5: Solve for x
    x = 551,712,286,608.89/340,257.38
  6. Step 6: Final answer
    x = 1,621,455.78

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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.