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Finding the Third Proportional to 357,204 and 544,180

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Solution

The third proportional to 357,204 and 544,180 is: 829,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,204 : 544,180 = 544,180 : x
  2. Step 2: Convert to fraction form
    357,204/544,180 = 544,180/x
  3. Step 3: Cross multiply
    357,204x = 544,180 × 544,180
  4. Step 4: Simplify right side
    357,204x = 296,131,872,400
  5. Step 5: Solve for x
    x = 296,131,872,400/357,204
  6. Step 6: Final answer
    x = 829,027.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.