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Finding the Third Proportional to 344,188 and 745,569

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Solution

The third proportional to 344,188 and 745,569 is: 1,615,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,188 : 745,569 = 745,569 : x
  2. Step 2: Convert to fraction form
    344,188/745,569 = 745,569/x
  3. Step 3: Cross multiply
    344,188x = 745,569 × 745,569
  4. Step 4: Simplify right side
    344,188x = 555,873,133,761
  5. Step 5: Solve for x
    x = 555,873,133,761/344,188
  6. Step 6: Final answer
    x = 1,615,027.64

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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.