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Finding the Third Proportional to 197,724 and 434,804

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Solution

The third proportional to 197,724 and 434,804 is: 956,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,724 : 434,804 = 434,804 : x
  2. Step 2: Convert to fraction form
    197,724/434,804 = 434,804/x
  3. Step 3: Cross multiply
    197,724x = 434,804 × 434,804
  4. Step 4: Simplify right side
    197,724x = 189,054,518,416
  5. Step 5: Solve for x
    x = 189,054,518,416/197,724
  6. Step 6: Final answer
    x = 956,153.62

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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.