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Finding the Third Proportional to 197,000 and 435,472

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Solution

The third proportional to 197,000 and 435,472 is: 962,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,000 : 435,472 = 435,472 : x
  2. Step 2: Convert to fraction form
    197,000/435,472 = 435,472/x
  3. Step 3: Cross multiply
    197,000x = 435,472 × 435,472
  4. Step 4: Simplify right side
    197,000x = 189,635,862,784
  5. Step 5: Solve for x
    x = 189,635,862,784/197,000
  6. Step 6: Final answer
    x = 962,618.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.