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Finding the Third Proportional to 296,810 and 699,941

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Solution

The third proportional to 296,810 and 699,941 is: 1,650,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,810 : 699,941 = 699,941 : x
  2. Step 2: Convert to fraction form
    296,810/699,941 = 699,941/x
  3. Step 3: Cross multiply
    296,810x = 699,941 × 699,941
  4. Step 4: Simplify right side
    296,810x = 489,917,403,481
  5. Step 5: Solve for x
    x = 489,917,403,481/296,810
  6. Step 6: Final answer
    x = 1,650,609.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.