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Finding the Third Proportional to 211,588 and 327,831

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Solution

The third proportional to 211,588 and 327,831 is: 507,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,588 : 327,831 = 327,831 : x
  2. Step 2: Convert to fraction form
    211,588/327,831 = 327,831/x
  3. Step 3: Cross multiply
    211,588x = 327,831 × 327,831
  4. Step 4: Simplify right side
    211,588x = 107,473,164,561
  5. Step 5: Solve for x
    x = 107,473,164,561/211,588
  6. Step 6: Final answer
    x = 507,936.01

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