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Finding the Third Proportional to 296,588.25 and 699,833.25

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Solution

The third proportional to 296,588.25 and 699,833.25 is: 1,651,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,588.25 : 699,833.25 = 699,833.25 : x
  2. Step 2: Convert to fraction form
    296,588.25/699,833.25 = 699,833.25/x
  3. Step 3: Cross multiply
    296,588.25x = 699,833.25 × 699,833.25
  4. Step 4: Simplify right side
    296,588.25x = 489,766,577,805.56
  5. Step 5: Solve for x
    x = 489,766,577,805.56/296,588.25
  6. Step 6: Final answer
    x = 1,651,335.07

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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.