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Finding the Third Proportional to 364,062 and 757,173

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Solution

The third proportional to 364,062 and 757,173 is: 1,574,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,062 : 757,173 = 757,173 : x
  2. Step 2: Convert to fraction form
    364,062/757,173 = 757,173/x
  3. Step 3: Cross multiply
    364,062x = 757,173 × 757,173
  4. Step 4: Simplify right side
    364,062x = 573,310,951,929
  5. Step 5: Solve for x
    x = 573,310,951,929/364,062
  6. Step 6: Final answer
    x = 1,574,761.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.