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Finding the Third Proportional to 233,435 and 512,257

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Solution

The third proportional to 233,435 and 512,257 is: 1,124,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,435 : 512,257 = 512,257 : x
  2. Step 2: Convert to fraction form
    233,435/512,257 = 512,257/x
  3. Step 3: Cross multiply
    233,435x = 512,257 × 512,257
  4. Step 4: Simplify right side
    233,435x = 262,407,234,049
  5. Step 5: Solve for x
    x = 262,407,234,049/233,435
  6. Step 6: Final answer
    x = 1,124,112.64

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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.