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Finding the Third Proportional to 268,250 and 580,058

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Solution

The third proportional to 268,250 and 580,058 is: 1,254,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,250 : 580,058 = 580,058 : x
  2. Step 2: Convert to fraction form
    268,250/580,058 = 580,058/x
  3. Step 3: Cross multiply
    268,250x = 580,058 × 580,058
  4. Step 4: Simplify right side
    268,250x = 336,467,283,364
  5. Step 5: Solve for x
    x = 336,467,283,364/268,250
  6. Step 6: Final answer
    x = 1,254,304.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.