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Finding the Third Proportional to 234,505 and 477,291

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Solution

The third proportional to 234,505 and 477,291 is: 971,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,505 : 477,291 = 477,291 : x
  2. Step 2: Convert to fraction form
    234,505/477,291 = 477,291/x
  3. Step 3: Cross multiply
    234,505x = 477,291 × 477,291
  4. Step 4: Simplify right side
    234,505x = 227,806,698,681
  5. Step 5: Solve for x
    x = 227,806,698,681/234,505
  6. Step 6: Final answer
    x = 971,436.42

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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.