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Finding the Third Proportional to 197,482 and 418,500

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Solution

The third proportional to 197,482 and 418,500 is: 886,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,482 : 418,500 = 418,500 : x
  2. Step 2: Convert to fraction form
    197,482/418,500 = 418,500/x
  3. Step 3: Cross multiply
    197,482x = 418,500 × 418,500
  4. Step 4: Simplify right side
    197,482x = 175,142,250,000
  5. Step 5: Solve for x
    x = 175,142,250,000/197,482
  6. Step 6: Final answer
    x = 886,877.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.