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Finding the Third Proportional to 331,216 and 718,443

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Solution

The third proportional to 331,216 and 718,443 is: 1,558,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,216 : 718,443 = 718,443 : x
  2. Step 2: Convert to fraction form
    331,216/718,443 = 718,443/x
  3. Step 3: Cross multiply
    331,216x = 718,443 × 718,443
  4. Step 4: Simplify right side
    331,216x = 516,160,344,249
  5. Step 5: Solve for x
    x = 516,160,344,249/331,216
  6. Step 6: Final answer
    x = 1,558,379.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.