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Finding the Third Proportional to 207,416 and 444,304

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Solution

The third proportional to 207,416 and 444,304 is: 951,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,416 : 444,304 = 444,304 : x
  2. Step 2: Convert to fraction form
    207,416/444,304 = 444,304/x
  3. Step 3: Cross multiply
    207,416x = 444,304 × 444,304
  4. Step 4: Simplify right side
    207,416x = 197,406,044,416
  5. Step 5: Solve for x
    x = 197,406,044,416/207,416
  6. Step 6: Final answer
    x = 951,739.71

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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.