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Finding the Third Proportional to 232,272 and 508,824

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Solution

The third proportional to 232,272 and 508,824 is: 1,114,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,272 : 508,824 = 508,824 : x
  2. Step 2: Convert to fraction form
    232,272/508,824 = 508,824/x
  3. Step 3: Cross multiply
    232,272x = 508,824 × 508,824
  4. Step 4: Simplify right side
    232,272x = 258,901,862,976
  5. Step 5: Solve for x
    x = 258,901,862,976/232,272
  6. Step 6: Final answer
    x = 1,114,649.48

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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.