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Finding the Third Proportional to 211,482 and 327,960

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Solution

The third proportional to 211,482 and 327,960 is: 508,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,482 : 327,960 = 327,960 : x
  2. Step 2: Convert to fraction form
    211,482/327,960 = 327,960/x
  3. Step 3: Cross multiply
    211,482x = 327,960 × 327,960
  4. Step 4: Simplify right side
    211,482x = 107,557,761,600
  5. Step 5: Solve for x
    x = 107,557,761,600/211,482
  6. Step 6: Final answer
    x = 508,590.62

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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.