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Finding the Third Proportional to 211,460 and 327,814

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Solution

The third proportional to 211,460 and 327,814 is: 508,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,460 : 327,814 = 327,814 : x
  2. Step 2: Convert to fraction form
    211,460/327,814 = 327,814/x
  3. Step 3: Cross multiply
    211,460x = 327,814 × 327,814
  4. Step 4: Simplify right side
    211,460x = 107,462,018,596
  5. Step 5: Solve for x
    x = 107,462,018,596/211,460
  6. Step 6: Final answer
    x = 508,190.76

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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.