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Finding the Third Proportional to 234,476 and 477,239

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Solution

The third proportional to 234,476 and 477,239 is: 971,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,476 : 477,239 = 477,239 : x
  2. Step 2: Convert to fraction form
    234,476/477,239 = 477,239/x
  3. Step 3: Cross multiply
    234,476x = 477,239 × 477,239
  4. Step 4: Simplify right side
    234,476x = 227,757,063,121
  5. Step 5: Solve for x
    x = 227,757,063,121/234,476
  6. Step 6: Final answer
    x = 971,344.88

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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.