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Finding the Third Proportional to 340,741.69 and 743,374.13

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Solution

The third proportional to 340,741.69 and 743,374.13 is: 1,621,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,741.69 : 743,374.13 = 743,374.13 : x
  2. Step 2: Convert to fraction form
    340,741.69/743,374.13 = 743,374.13/x
  3. Step 3: Cross multiply
    340,741.69x = 743,374.13 × 743,374.13
  4. Step 4: Simplify right side
    340,741.69x = 552,605,089,719.52
  5. Step 5: Solve for x
    x = 552,605,089,719.52/340,741.69
  6. Step 6: Final answer
    x = 1,621,771.30

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Why These Related Problems?

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