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Finding the Third Proportional to 197,472 and 433,557

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Solution

The third proportional to 197,472 and 433,557 is: 951,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,472 : 433,557 = 433,557 : x
  2. Step 2: Convert to fraction form
    197,472/433,557 = 433,557/x
  3. Step 3: Cross multiply
    197,472x = 433,557 × 433,557
  4. Step 4: Simplify right side
    197,472x = 187,971,672,249
  5. Step 5: Solve for x
    x = 187,971,672,249/197,472
  6. Step 6: Final answer
    x = 951,890.25

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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.