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Finding the Third Proportional to 239,272 and 503,344

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Solution

The third proportional to 239,272 and 503,344 is: 1,058,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,272 : 503,344 = 503,344 : x
  2. Step 2: Convert to fraction form
    239,272/503,344 = 503,344/x
  3. Step 3: Cross multiply
    239,272x = 503,344 × 503,344
  4. Step 4: Simplify right side
    239,272x = 253,355,182,336
  5. Step 5: Solve for x
    x = 253,355,182,336/239,272
  6. Step 6: Final answer
    x = 1,058,858.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.