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Finding the Third Proportional to 316,066 and 447,219

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Solution

The third proportional to 316,066 and 447,219 is: 632,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,066 : 447,219 = 447,219 : x
  2. Step 2: Convert to fraction form
    316,066/447,219 = 447,219/x
  3. Step 3: Cross multiply
    316,066x = 447,219 × 447,219
  4. Step 4: Simplify right side
    316,066x = 200,004,833,961
  5. Step 5: Solve for x
    x = 200,004,833,961/316,066
  6. Step 6: Final answer
    x = 632,794.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.