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Finding the Third Proportional to 344,671 and 757,373

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Solution

The third proportional to 344,671 and 757,373 is: 1,664,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,671 : 757,373 = 757,373 : x
  2. Step 2: Convert to fraction form
    344,671/757,373 = 757,373/x
  3. Step 3: Cross multiply
    344,671x = 757,373 × 757,373
  4. Step 4: Simplify right side
    344,671x = 573,613,861,129
  5. Step 5: Solve for x
    x = 573,613,861,129/344,671
  6. Step 6: Final answer
    x = 1,664,235.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.