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Finding the Third Proportional to 376,772 and 527,013

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Solution

The third proportional to 376,772 and 527,013 is: 737,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,772 : 527,013 = 527,013 : x
  2. Step 2: Convert to fraction form
    376,772/527,013 = 527,013/x
  3. Step 3: Cross multiply
    376,772x = 527,013 × 527,013
  4. Step 4: Simplify right side
    376,772x = 277,742,702,169
  5. Step 5: Solve for x
    x = 277,742,702,169/376,772
  6. Step 6: Final answer
    x = 737,163.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.