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Finding the Third Proportional to 344,212 and 745,619

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Solution

The third proportional to 344,212 and 745,619 is: 1,615,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,212 : 745,619 = 745,619 : x
  2. Step 2: Convert to fraction form
    344,212/745,619 = 745,619/x
  3. Step 3: Cross multiply
    344,212x = 745,619 × 745,619
  4. Step 4: Simplify right side
    344,212x = 555,947,693,161
  5. Step 5: Solve for x
    x = 555,947,693,161/344,212
  6. Step 6: Final answer
    x = 1,615,131.64

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Why These Related Problems?

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