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Finding the Third Proportional to 326,819 and 703,687

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Solution

The third proportional to 326,819 and 703,687 is: 1,515,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,819 : 703,687 = 703,687 : x
  2. Step 2: Convert to fraction form
    326,819/703,687 = 703,687/x
  3. Step 3: Cross multiply
    326,819x = 703,687 × 703,687
  4. Step 4: Simplify right side
    326,819x = 495,175,393,969
  5. Step 5: Solve for x
    x = 495,175,393,969/326,819
  6. Step 6: Final answer
    x = 1,515,136.49

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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.