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Finding the Third Proportional to 273,974 and 403,573

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Solution

The third proportional to 273,974 and 403,573 is: 594,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,974 : 403,573 = 403,573 : x
  2. Step 2: Convert to fraction form
    273,974/403,573 = 403,573/x
  3. Step 3: Cross multiply
    273,974x = 403,573 × 403,573
  4. Step 4: Simplify right side
    273,974x = 162,871,166,329
  5. Step 5: Solve for x
    x = 162,871,166,329/273,974
  6. Step 6: Final answer
    x = 594,476.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.