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Finding the Third Proportional to 207,817 and 451,058

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Solution

The third proportional to 207,817 and 451,058 is: 979,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,817 : 451,058 = 451,058 : x
  2. Step 2: Convert to fraction form
    207,817/451,058 = 451,058/x
  3. Step 3: Cross multiply
    207,817x = 451,058 × 451,058
  4. Step 4: Simplify right side
    207,817x = 203,453,319,364
  5. Step 5: Solve for x
    x = 203,453,319,364/207,817
  6. Step 6: Final answer
    x = 979,002.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.