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Finding the Third Proportional to 517,920 and 699,756

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Solution

The third proportional to 517,920 and 699,756 is: 945,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,920 : 699,756 = 699,756 : x
  2. Step 2: Convert to fraction form
    517,920/699,756 = 699,756/x
  3. Step 3: Cross multiply
    517,920x = 699,756 × 699,756
  4. Step 4: Simplify right side
    517,920x = 489,658,459,536
  5. Step 5: Solve for x
    x = 489,658,459,536/517,920
  6. Step 6: Final answer
    x = 945,432.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.