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Finding the Third Proportional to 207,501 and 453,234

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Solution

The third proportional to 207,501 and 453,234 is: 989,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,501 : 453,234 = 453,234 : x
  2. Step 2: Convert to fraction form
    207,501/453,234 = 453,234/x
  3. Step 3: Cross multiply
    207,501x = 453,234 × 453,234
  4. Step 4: Simplify right side
    207,501x = 205,421,058,756
  5. Step 5: Solve for x
    x = 205,421,058,756/207,501
  6. Step 6: Final answer
    x = 989,976.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.