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Finding the Third Proportional to 197,532 and 434,448

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Solution

The third proportional to 197,532 and 434,448 is: 955,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,532 : 434,448 = 434,448 : x
  2. Step 2: Convert to fraction form
    197,532/434,448 = 434,448/x
  3. Step 3: Cross multiply
    197,532x = 434,448 × 434,448
  4. Step 4: Simplify right side
    197,532x = 188,745,064,704
  5. Step 5: Solve for x
    x = 188,745,064,704/197,532
  6. Step 6: Final answer
    x = 955,516.40

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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.