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Finding the Third Proportional to 379,810 and 587,910

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Solution

The third proportional to 379,810 and 587,910 is: 910,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,810 : 587,910 = 587,910 : x
  2. Step 2: Convert to fraction form
    379,810/587,910 = 587,910/x
  3. Step 3: Cross multiply
    379,810x = 587,910 × 587,910
  4. Step 4: Simplify right side
    379,810x = 345,638,168,100
  5. Step 5: Solve for x
    x = 345,638,168,100/379,810
  6. Step 6: Final answer
    x = 910,029.14

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