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Finding the Third Proportional to 233,424 and 512,041

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Solution

The third proportional to 233,424 and 512,041 is: 1,123,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,424 : 512,041 = 512,041 : x
  2. Step 2: Convert to fraction form
    233,424/512,041 = 512,041/x
  3. Step 3: Cross multiply
    233,424x = 512,041 × 512,041
  4. Step 4: Simplify right side
    233,424x = 262,185,985,681
  5. Step 5: Solve for x
    x = 262,185,985,681/233,424
  6. Step 6: Final answer
    x = 1,123,217.77

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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.