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Finding the Third Proportional to 462,722 and 699,917

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Solution

The third proportional to 462,722 and 699,917 is: 1,058,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,722 : 699,917 = 699,917 : x
  2. Step 2: Convert to fraction form
    462,722/699,917 = 699,917/x
  3. Step 3: Cross multiply
    462,722x = 699,917 × 699,917
  4. Step 4: Simplify right side
    462,722x = 489,883,806,889
  5. Step 5: Solve for x
    x = 489,883,806,889/462,722
  6. Step 6: Final answer
    x = 1,058,700.06

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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.