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Finding the Third Proportional to 447,985.69 and 967,231.13

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Solution

The third proportional to 447,985.69 and 967,231.13 is: 2,088,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,985.69 : 967,231.13 = 967,231.13 : x
  2. Step 2: Convert to fraction form
    447,985.69/967,231.13 = 967,231.13/x
  3. Step 3: Cross multiply
    447,985.69x = 967,231.13 × 967,231.13
  4. Step 4: Simplify right side
    447,985.69x = 935,536,049,168.77
  5. Step 5: Solve for x
    x = 935,536,049,168.77/447,985.69
  6. Step 6: Final answer
    x = 2,088,316.83

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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.