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Finding the Third Proportional to 462,920 and 699,296

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Solution

The third proportional to 462,920 and 699,296 is: 1,056,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,920 : 699,296 = 699,296 : x
  2. Step 2: Convert to fraction form
    462,920/699,296 = 699,296/x
  3. Step 3: Cross multiply
    462,920x = 699,296 × 699,296
  4. Step 4: Simplify right side
    462,920x = 489,014,895,616
  5. Step 5: Solve for x
    x = 489,014,895,616/462,920
  6. Step 6: Final answer
    x = 1,056,370.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.