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Finding the Third Proportional to 207,724 and 447,037

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Solution

The third proportional to 207,724 and 447,037 is: 962,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,724 : 447,037 = 447,037 : x
  2. Step 2: Convert to fraction form
    207,724/447,037 = 447,037/x
  3. Step 3: Cross multiply
    207,724x = 447,037 × 447,037
  4. Step 4: Simplify right side
    207,724x = 199,842,079,369
  5. Step 5: Solve for x
    x = 199,842,079,369/207,724
  6. Step 6: Final answer
    x = 962,055.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.