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Finding the Third Proportional to 344,671.88 and 748,186.88

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Solution

The third proportional to 344,671.88 and 748,186.88 is: 1,624,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,671.88 : 748,186.88 = 748,186.88 : x
  2. Step 2: Convert to fraction form
    344,671.88/748,186.88 = 748,186.88/x
  3. Step 3: Cross multiply
    344,671.88x = 748,186.88 × 748,186.88
  4. Step 4: Simplify right side
    344,671.88x = 559,783,599,922.27
  5. Step 5: Solve for x
    x = 559,783,599,922.27/344,671.88
  6. Step 6: Final answer
    x = 1,624,105.83

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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.