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Finding the Third Proportional to 207,344 and 447,768

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Solution

The third proportional to 207,344 and 447,768 is: 966,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,344 : 447,768 = 447,768 : x
  2. Step 2: Convert to fraction form
    207,344/447,768 = 447,768/x
  3. Step 3: Cross multiply
    207,344x = 447,768 × 447,768
  4. Step 4: Simplify right side
    207,344x = 200,496,181,824
  5. Step 5: Solve for x
    x = 200,496,181,824/207,344
  6. Step 6: Final answer
    x = 966,973.64

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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.