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Finding the Third Proportional to 234,478 and 477,242

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Solution

The third proportional to 234,478 and 477,242 is: 971,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,478 : 477,242 = 477,242 : x
  2. Step 2: Convert to fraction form
    234,478/477,242 = 477,242/x
  3. Step 3: Cross multiply
    234,478x = 477,242 × 477,242
  4. Step 4: Simplify right side
    234,478x = 227,759,926,564
  5. Step 5: Solve for x
    x = 227,759,926,564/234,478
  6. Step 6: Final answer
    x = 971,348.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.