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Finding the Third Proportional to 207,407 and 443,244

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Solution

The third proportional to 207,407 and 443,244 is: 947,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,407 : 443,244 = 443,244 : x
  2. Step 2: Convert to fraction form
    207,407/443,244 = 443,244/x
  3. Step 3: Cross multiply
    207,407x = 443,244 × 443,244
  4. Step 4: Simplify right side
    207,407x = 196,465,243,536
  5. Step 5: Solve for x
    x = 196,465,243,536/207,407
  6. Step 6: Final answer
    x = 947,245.00

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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.