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Finding the Third Proportional to 322,019 and 707,782

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Solution

The third proportional to 322,019 and 707,782 is: 1,555,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,019 : 707,782 = 707,782 : x
  2. Step 2: Convert to fraction form
    322,019/707,782 = 707,782/x
  3. Step 3: Cross multiply
    322,019x = 707,782 × 707,782
  4. Step 4: Simplify right side
    322,019x = 500,955,359,524
  5. Step 5: Solve for x
    x = 500,955,359,524/322,019
  6. Step 6: Final answer
    x = 1,555,670.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.