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Finding the Third Proportional to 344,260.13 and 745,719.75

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Solution

The third proportional to 344,260.13 and 745,719.75 is: 1,615,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,260.13 : 745,719.75 = 745,719.75 : x
  2. Step 2: Convert to fraction form
    344,260.13/745,719.75 = 745,719.75/x
  3. Step 3: Cross multiply
    344,260.13x = 745,719.75 × 745,719.75
  4. Step 4: Simplify right side
    344,260.13x = 556,097,945,540.06
  5. Step 5: Solve for x
    x = 556,097,945,540.06/344,260.13
  6. Step 6: Final answer
    x = 1,615,342.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.