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Finding the Third Proportional to 197,424 and 433,260

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Solution

The third proportional to 197,424 and 433,260 is: 950,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,424 : 433,260 = 433,260 : x
  2. Step 2: Convert to fraction form
    197,424/433,260 = 433,260/x
  3. Step 3: Cross multiply
    197,424x = 433,260 × 433,260
  4. Step 4: Simplify right side
    197,424x = 187,714,227,600
  5. Step 5: Solve for x
    x = 187,714,227,600/197,424
  6. Step 6: Final answer
    x = 950,817.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.