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Finding the Third Proportional to 508,257 and 1,058,620

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Solution

The third proportional to 508,257 and 1,058,620 is: 2,204,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,257 : 1,058,620 = 1,058,620 : x
  2. Step 2: Convert to fraction form
    508,257/1,058,620 = 1,058,620/x
  3. Step 3: Cross multiply
    508,257x = 1,058,620 × 1,058,620
  4. Step 4: Simplify right side
    508,257x = 1,120,676,304,400
  5. Step 5: Solve for x
    x = 1,120,676,304,400/508,257
  6. Step 6: Final answer
    x = 2,204,940.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.