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Finding the Third Proportional to 197,802 and 428,436

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Solution

The third proportional to 197,802 and 428,436 is: 927,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,802 : 428,436 = 428,436 : x
  2. Step 2: Convert to fraction form
    197,802/428,436 = 428,436/x
  3. Step 3: Cross multiply
    197,802x = 428,436 × 428,436
  4. Step 4: Simplify right side
    197,802x = 183,557,406,096
  5. Step 5: Solve for x
    x = 183,557,406,096/197,802
  6. Step 6: Final answer
    x = 927,985.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.