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Finding the Third Proportional to 379,920 and 577,713

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Solution

The third proportional to 379,920 and 577,713 is: 878,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,920 : 577,713 = 577,713 : x
  2. Step 2: Convert to fraction form
    379,920/577,713 = 577,713/x
  3. Step 3: Cross multiply
    379,920x = 577,713 × 577,713
  4. Step 4: Simplify right side
    379,920x = 333,752,310,369
  5. Step 5: Solve for x
    x = 333,752,310,369/379,920
  6. Step 6: Final answer
    x = 878,480.50

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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.