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Finding the Third Proportional to 332,885 and 476,022

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Solution

The third proportional to 332,885 and 476,022 is: 680,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,885 : 476,022 = 476,022 : x
  2. Step 2: Convert to fraction form
    332,885/476,022 = 476,022/x
  3. Step 3: Cross multiply
    332,885x = 476,022 × 476,022
  4. Step 4: Simplify right side
    332,885x = 226,596,944,484
  5. Step 5: Solve for x
    x = 226,596,944,484/332,885
  6. Step 6: Final answer
    x = 680,706.38

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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.