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Finding the Third Proportional to 296,786 and 699,898

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Solution

The third proportional to 296,786 and 699,898 is: 1,650,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,786 : 699,898 = 699,898 : x
  2. Step 2: Convert to fraction form
    296,786/699,898 = 699,898/x
  3. Step 3: Cross multiply
    296,786x = 699,898 × 699,898
  4. Step 4: Simplify right side
    296,786x = 489,857,210,404
  5. Step 5: Solve for x
    x = 489,857,210,404/296,786
  6. Step 6: Final answer
    x = 1,650,540.15

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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.