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Finding the Third Proportional to 326,822 and 703,693

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Solution

The third proportional to 326,822 and 703,693 is: 1,515,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,822 : 703,693 = 703,693 : x
  2. Step 2: Convert to fraction form
    326,822/703,693 = 703,693/x
  3. Step 3: Cross multiply
    326,822x = 703,693 × 703,693
  4. Step 4: Simplify right side
    326,822x = 495,183,838,249
  5. Step 5: Solve for x
    x = 495,183,838,249/326,822
  6. Step 6: Final answer
    x = 1,515,148.42

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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.