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Finding the Third Proportional to 197,080 and 433,524

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Solution

The third proportional to 197,080 and 433,524 is: 953,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,080 : 433,524 = 433,524 : x
  2. Step 2: Convert to fraction form
    197,080/433,524 = 433,524/x
  3. Step 3: Cross multiply
    197,080x = 433,524 × 433,524
  4. Step 4: Simplify right side
    197,080x = 187,943,058,576
  5. Step 5: Solve for x
    x = 187,943,058,576/197,080
  6. Step 6: Final answer
    x = 953,638.41

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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.