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Finding the Third Proportional to 258,466 and 377,675

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Solution

The third proportional to 258,466 and 377,675 is: 551,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,466 : 377,675 = 377,675 : x
  2. Step 2: Convert to fraction form
    258,466/377,675 = 377,675/x
  3. Step 3: Cross multiply
    258,466x = 377,675 × 377,675
  4. Step 4: Simplify right side
    258,466x = 142,638,405,625
  5. Step 5: Solve for x
    x = 142,638,405,625/258,466
  6. Step 6: Final answer
    x = 551,865.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.