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Finding the Third Proportional to 326,745 and 703,554

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Solution

The third proportional to 326,745 and 703,554 is: 1,514,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,745 : 703,554 = 703,554 : x
  2. Step 2: Convert to fraction form
    326,745/703,554 = 703,554/x
  3. Step 3: Cross multiply
    326,745x = 703,554 × 703,554
  4. Step 4: Simplify right side
    326,745x = 494,988,230,916
  5. Step 5: Solve for x
    x = 494,988,230,916/326,745
  6. Step 6: Final answer
    x = 1,514,906.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.