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Finding the Third Proportional to 197,810 and 434,932

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Solution

The third proportional to 197,810 and 434,932 is: 956,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,810 : 434,932 = 434,932 : x
  2. Step 2: Convert to fraction form
    197,810/434,932 = 434,932/x
  3. Step 3: Cross multiply
    197,810x = 434,932 × 434,932
  4. Step 4: Simplify right side
    197,810x = 189,165,844,624
  5. Step 5: Solve for x
    x = 189,165,844,624/197,810
  6. Step 6: Final answer
    x = 956,300.72

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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.