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Finding the Third Proportional to 197,064 and 433,494

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Solution

The third proportional to 197,064 and 433,494 is: 953,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,064 : 433,494 = 433,494 : x
  2. Step 2: Convert to fraction form
    197,064/433,494 = 433,494/x
  3. Step 3: Cross multiply
    197,064x = 433,494 × 433,494
  4. Step 4: Simplify right side
    197,064x = 187,917,048,036
  5. Step 5: Solve for x
    x = 187,917,048,036/197,064
  6. Step 6: Final answer
    x = 953,583.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.