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Finding the Third Proportional to 250,824 and 508,128

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Solution

The third proportional to 250,824 and 508,128 is: 1,029,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,824 : 508,128 = 508,128 : x
  2. Step 2: Convert to fraction form
    250,824/508,128 = 508,128/x
  3. Step 3: Cross multiply
    250,824x = 508,128 × 508,128
  4. Step 4: Simplify right side
    250,824x = 258,194,064,384
  5. Step 5: Solve for x
    x = 258,194,064,384/250,824
  6. Step 6: Final answer
    x = 1,029,383.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.