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Finding the Third Proportional to 207,024 and 443,558

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Solution

The third proportional to 207,024 and 443,558 is: 950,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,024 : 443,558 = 443,558 : x
  2. Step 2: Convert to fraction form
    207,024/443,558 = 443,558/x
  3. Step 3: Cross multiply
    207,024x = 443,558 × 443,558
  4. Step 4: Simplify right side
    207,024x = 196,743,699,364
  5. Step 5: Solve for x
    x = 196,743,699,364/207,024
  6. Step 6: Final answer
    x = 950,342.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.