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Finding the Third Proportional to 256,234 and 545,732

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Solution

The third proportional to 256,234 and 545,732 is: 1,162,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,234 : 545,732 = 545,732 : x
  2. Step 2: Convert to fraction form
    256,234/545,732 = 545,732/x
  3. Step 3: Cross multiply
    256,234x = 545,732 × 545,732
  4. Step 4: Simplify right side
    256,234x = 297,823,415,824
  5. Step 5: Solve for x
    x = 297,823,415,824/256,234
  6. Step 6: Final answer
    x = 1,162,310.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.