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Finding the Third Proportional to 207,060 and 443,649

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Solution

The third proportional to 207,060 and 443,649 is: 950,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,060 : 443,649 = 443,649 : x
  2. Step 2: Convert to fraction form
    207,060/443,649 = 443,649/x
  3. Step 3: Cross multiply
    207,060x = 443,649 × 443,649
  4. Step 4: Simplify right side
    207,060x = 196,824,435,201
  5. Step 5: Solve for x
    x = 196,824,435,201/207,060
  6. Step 6: Final answer
    x = 950,567.16

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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.