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Finding the Third Proportional to 207,291 and 447,666

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Solution

The third proportional to 207,291 and 447,666 is: 966,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,291 : 447,666 = 447,666 : x
  2. Step 2: Convert to fraction form
    207,291/447,666 = 447,666/x
  3. Step 3: Cross multiply
    207,291x = 447,666 × 447,666
  4. Step 4: Simplify right side
    207,291x = 200,404,847,556
  5. Step 5: Solve for x
    x = 200,404,847,556/207,291
  6. Step 6: Final answer
    x = 966,780.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.