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Finding the Third Proportional to 377,081 and 527,462

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Solution

The third proportional to 377,081 and 527,462 is: 737,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,081 : 527,462 = 527,462 : x
  2. Step 2: Convert to fraction form
    377,081/527,462 = 527,462/x
  3. Step 3: Cross multiply
    377,081x = 527,462 × 527,462
  4. Step 4: Simplify right side
    377,081x = 278,216,161,444
  5. Step 5: Solve for x
    x = 278,216,161,444/377,081
  6. Step 6: Final answer
    x = 737,815.38

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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.