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Finding the Third Proportional to 211,468 and 327,945

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Solution

The third proportional to 211,468 and 327,945 is: 508,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,468 : 327,945 = 327,945 : x
  2. Step 2: Convert to fraction form
    211,468/327,945 = 327,945/x
  3. Step 3: Cross multiply
    211,468x = 327,945 × 327,945
  4. Step 4: Simplify right side
    211,468x = 107,547,923,025
  5. Step 5: Solve for x
    x = 107,547,923,025/211,468
  6. Step 6: Final answer
    x = 508,577.77

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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.