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Finding the Third Proportional to 207,854 and 447,764

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Solution

The third proportional to 207,854 and 447,764 is: 964,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,854 : 447,764 = 447,764 : x
  2. Step 2: Convert to fraction form
    207,854/447,764 = 447,764/x
  3. Step 3: Cross multiply
    207,854x = 447,764 × 447,764
  4. Step 4: Simplify right side
    207,854x = 200,492,599,696
  5. Step 5: Solve for x
    x = 200,492,599,696/207,854
  6. Step 6: Final answer
    x = 964,583.79

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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.