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Finding the Third Proportional to 234,483.75 and 477,252

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Solution

The third proportional to 234,483.75 and 477,252 is: 971,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,483.75 : 477,252 = 477,252 : x
  2. Step 2: Convert to fraction form
    234,483.75/477,252 = 477,252/x
  3. Step 3: Cross multiply
    234,483.75x = 477,252 × 477,252
  4. Step 4: Simplify right side
    234,483.75x = 227,769,471,504
  5. Step 5: Solve for x
    x = 227,769,471,504/234,483.75
  6. Step 6: Final answer
    x = 971,365.70

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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.