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Finding the Third Proportional to 207,714 and 447,258

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Solution

The third proportional to 207,714 and 447,258 is: 963,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,714 : 447,258 = 447,258 : x
  2. Step 2: Convert to fraction form
    207,714/447,258 = 447,258/x
  3. Step 3: Cross multiply
    207,714x = 447,258 × 447,258
  4. Step 4: Simplify right side
    207,714x = 200,039,718,564
  5. Step 5: Solve for x
    x = 200,039,718,564/207,714
  6. Step 6: Final answer
    x = 963,053.61

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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.