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Finding the Third Proportional to 197,475 and 433,563

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Solution

The third proportional to 197,475 and 433,563 is: 951,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,475 : 433,563 = 433,563 : x
  2. Step 2: Convert to fraction form
    197,475/433,563 = 433,563/x
  3. Step 3: Cross multiply
    197,475x = 433,563 × 433,563
  4. Step 4: Simplify right side
    197,475x = 187,976,874,969
  5. Step 5: Solve for x
    x = 187,976,874,969/197,475
  6. Step 6: Final answer
    x = 951,902.14

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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.