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Finding the Third Proportional to 349,272 and 754,182

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Solution

The third proportional to 349,272 and 754,182 is: 1,628,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,272 : 754,182 = 754,182 : x
  2. Step 2: Convert to fraction form
    349,272/754,182 = 754,182/x
  3. Step 3: Cross multiply
    349,272x = 754,182 × 754,182
  4. Step 4: Simplify right side
    349,272x = 568,790,489,124
  5. Step 5: Solve for x
    x = 568,790,489,124/349,272
  6. Step 6: Final answer
    x = 1,628,502.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.