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Finding the Third Proportional to 234,094.50 and 512,793

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Solution

The third proportional to 234,094.50 and 512,793 is: 1,123,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,094.50 : 512,793 = 512,793 : x
  2. Step 2: Convert to fraction form
    234,094.50/512,793 = 512,793/x
  3. Step 3: Cross multiply
    234,094.50x = 512,793 × 512,793
  4. Step 4: Simplify right side
    234,094.50x = 262,956,660,849
  5. Step 5: Solve for x
    x = 262,956,660,849/234,094.50
  6. Step 6: Final answer
    x = 1,123,292.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.