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Finding the Third Proportional to 258,302 and 557,380

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Solution

The third proportional to 258,302 and 557,380 is: 1,202,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,302 : 557,380 = 557,380 : x
  2. Step 2: Convert to fraction form
    258,302/557,380 = 557,380/x
  3. Step 3: Cross multiply
    258,302x = 557,380 × 557,380
  4. Step 4: Simplify right side
    258,302x = 310,672,464,400
  5. Step 5: Solve for x
    x = 310,672,464,400/258,302
  6. Step 6: Final answer
    x = 1,202,748.97

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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.