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Finding the Third Proportional to 197,762 and 409,543

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Solution

The third proportional to 197,762 and 409,543 is: 848,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,762 : 409,543 = 409,543 : x
  2. Step 2: Convert to fraction form
    197,762/409,543 = 409,543/x
  3. Step 3: Cross multiply
    197,762x = 409,543 × 409,543
  4. Step 4: Simplify right side
    197,762x = 167,725,468,849
  5. Step 5: Solve for x
    x = 167,725,468,849/197,762
  6. Step 6: Final answer
    x = 848,117.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.