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Finding the Third Proportional to 462,739 and 699,936

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Solution

The third proportional to 462,739 and 699,936 is: 1,058,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,739 : 699,936 = 699,936 : x
  2. Step 2: Convert to fraction form
    462,739/699,936 = 699,936/x
  3. Step 3: Cross multiply
    462,739x = 699,936 × 699,936
  4. Step 4: Simplify right side
    462,739x = 489,910,404,096
  5. Step 5: Solve for x
    x = 489,910,404,096/462,739
  6. Step 6: Final answer
    x = 1,058,718.64

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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.