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Finding the Third Proportional to 207,318 and 447,716

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Solution

The third proportional to 207,318 and 447,716 is: 966,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,318 : 447,716 = 447,716 : x
  2. Step 2: Convert to fraction form
    207,318/447,716 = 447,716/x
  3. Step 3: Cross multiply
    207,318x = 447,716 × 447,716
  4. Step 4: Simplify right side
    207,318x = 200,449,616,656
  5. Step 5: Solve for x
    x = 200,449,616,656/207,318
  6. Step 6: Final answer
    x = 966,870.30

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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.