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Finding the Third Proportional to 211,628 and 327,819

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Solution

The third proportional to 211,628 and 327,819 is: 507,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,628 : 327,819 = 327,819 : x
  2. Step 2: Convert to fraction form
    211,628/327,819 = 327,819/x
  3. Step 3: Cross multiply
    211,628x = 327,819 × 327,819
  4. Step 4: Simplify right side
    211,628x = 107,465,296,761
  5. Step 5: Solve for x
    x = 107,465,296,761/211,628
  6. Step 6: Final answer
    x = 507,802.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.