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Finding the Third Proportional to 197,258 and 433,804

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Solution

The third proportional to 197,258 and 433,804 is: 954,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,258 : 433,804 = 433,804 : x
  2. Step 2: Convert to fraction form
    197,258/433,804 = 433,804/x
  3. Step 3: Cross multiply
    197,258x = 433,804 × 433,804
  4. Step 4: Simplify right side
    197,258x = 188,185,910,416
  5. Step 5: Solve for x
    x = 188,185,910,416/197,258
  6. Step 6: Final answer
    x = 954,009.02

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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.