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Finding the Third Proportional to 207,824 and 447,434

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Solution

The third proportional to 207,824 and 447,434 is: 963,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,824 : 447,434 = 447,434 : x
  2. Step 2: Convert to fraction form
    207,824/447,434 = 447,434/x
  3. Step 3: Cross multiply
    207,824x = 447,434 × 447,434
  4. Step 4: Simplify right side
    207,824x = 200,197,184,356
  5. Step 5: Solve for x
    x = 200,197,184,356/207,824
  6. Step 6: Final answer
    x = 963,301.56

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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.