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Finding the Third Proportional to 462,770 and 699,979

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Solution

The third proportional to 462,770 and 699,979 is: 1,058,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,770 : 699,979 = 699,979 : x
  2. Step 2: Convert to fraction form
    462,770/699,979 = 699,979/x
  3. Step 3: Cross multiply
    462,770x = 699,979 × 699,979
  4. Step 4: Simplify right side
    462,770x = 489,970,600,441
  5. Step 5: Solve for x
    x = 489,970,600,441/462,770
  6. Step 6: Final answer
    x = 1,058,777.80

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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.