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Finding the Third Proportional to 326,744 and 703,552

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Solution

The third proportional to 326,744 and 703,552 is: 1,514,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,744 : 703,552 = 703,552 : x
  2. Step 2: Convert to fraction form
    326,744/703,552 = 703,552/x
  3. Step 3: Cross multiply
    326,744x = 703,552 × 703,552
  4. Step 4: Simplify right side
    326,744x = 494,985,416,704
  5. Step 5: Solve for x
    x = 494,985,416,704/326,744
  6. Step 6: Final answer
    x = 1,514,902.85

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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.