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Finding the Third Proportional to 233,439.75 and 512,073

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Solution

The third proportional to 233,439.75 and 512,073 is: 1,123,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,439.75 : 512,073 = 512,073 : x
  2. Step 2: Convert to fraction form
    233,439.75/512,073 = 512,073/x
  3. Step 3: Cross multiply
    233,439.75x = 512,073 × 512,073
  4. Step 4: Simplify right side
    233,439.75x = 262,218,757,329
  5. Step 5: Solve for x
    x = 262,218,757,329/233,439.75
  6. Step 6: Final answer
    x = 1,123,282.38

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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.