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Finding the Third Proportional to 212,962 and 329,703

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Solution

The third proportional to 212,962 and 329,703 is: 510,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,962 : 329,703 = 329,703 : x
  2. Step 2: Convert to fraction form
    212,962/329,703 = 329,703/x
  3. Step 3: Cross multiply
    212,962x = 329,703 × 329,703
  4. Step 4: Simplify right side
    212,962x = 108,704,068,209
  5. Step 5: Solve for x
    x = 108,704,068,209/212,962
  6. Step 6: Final answer
    x = 510,438.80

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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.