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Finding the Third Proportional to 280,098 and 434,430

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Solution

The third proportional to 280,098 and 434,430 is: 673,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098 : 434,430 = 434,430 : x
  2. Step 2: Convert to fraction form
    280,098/434,430 = 434,430/x
  3. Step 3: Cross multiply
    280,098x = 434,430 × 434,430
  4. Step 4: Simplify right side
    280,098x = 188,729,424,900
  5. Step 5: Solve for x
    x = 188,729,424,900/280,098
  6. Step 6: Final answer
    x = 673,797.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.