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Finding the Third Proportional to 340,093.69 and 742,356.56

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Solution

The third proportional to 340,093.69 and 742,356.56 is: 1,620,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,093.69 : 742,356.56 = 742,356.56 : x
  2. Step 2: Convert to fraction form
    340,093.69/742,356.56 = 742,356.56/x
  3. Step 3: Cross multiply
    340,093.69x = 742,356.56 × 742,356.56
  4. Step 4: Simplify right side
    340,093.69x = 551,093,265,886.82
  5. Step 5: Solve for x
    x = 551,093,265,886.82/340,093.69
  6. Step 6: Final answer
    x = 1,620,416.04

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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.