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Finding the Third Proportional to 379,798 and 587,893

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Solution

The third proportional to 379,798 and 587,893 is: 910,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,798 : 587,893 = 587,893 : x
  2. Step 2: Convert to fraction form
    379,798/587,893 = 587,893/x
  3. Step 3: Cross multiply
    379,798x = 587,893 × 587,893
  4. Step 4: Simplify right side
    379,798x = 345,618,179,449
  5. Step 5: Solve for x
    x = 345,618,179,449/379,798
  6. Step 6: Final answer
    x = 910,005.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.