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Finding the Third Proportional to 361,982 and 476,013

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Solution

The third proportional to 361,982 and 476,013 is: 625,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,982 : 476,013 = 476,013 : x
  2. Step 2: Convert to fraction form
    361,982/476,013 = 476,013/x
  3. Step 3: Cross multiply
    361,982x = 476,013 × 476,013
  4. Step 4: Simplify right side
    361,982x = 226,588,376,169
  5. Step 5: Solve for x
    x = 226,588,376,169/361,982
  6. Step 6: Final answer
    x = 625,965.87

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.