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Finding the Third Proportional to 468,066 and 668,849

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Solution

The third proportional to 468,066 and 668,849 is: 955,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,066 : 668,849 = 668,849 : x
  2. Step 2: Convert to fraction form
    468,066/668,849 = 668,849/x
  3. Step 3: Cross multiply
    468,066x = 668,849 × 668,849
  4. Step 4: Simplify right side
    468,066x = 447,358,984,801
  5. Step 5: Solve for x
    x = 447,358,984,801/468,066
  6. Step 6: Final answer
    x = 955,760.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.