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Finding the Third Proportional to 296,723.25 and 699,806.25

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Solution

The third proportional to 296,723.25 and 699,806.25 is: 1,650,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,723.25 : 699,806.25 = 699,806.25 : x
  2. Step 2: Convert to fraction form
    296,723.25/699,806.25 = 699,806.25/x
  3. Step 3: Cross multiply
    296,723.25x = 699,806.25 × 699,806.25
  4. Step 4: Simplify right side
    296,723.25x = 489,728,787,539.06
  5. Step 5: Solve for x
    x = 489,728,787,539.06/296,723.25
  6. Step 6: Final answer
    x = 1,650,456.40

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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.