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Finding the Third Proportional to 234,528.75 and 477,353.25

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Solution

The third proportional to 234,528.75 and 477,353.25 is: 971,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,528.75 : 477,353.25 = 477,353.25 : x
  2. Step 2: Convert to fraction form
    234,528.75/477,353.25 = 477,353.25/x
  3. Step 3: Cross multiply
    234,528.75x = 477,353.25 × 477,353.25
  4. Step 4: Simplify right side
    234,528.75x = 227,866,125,285.56
  5. Step 5: Solve for x
    x = 227,866,125,285.56/234,528.75
  6. Step 6: Final answer
    x = 971,591.44

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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.