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Finding the Third Proportional to 273,950 and 401,448

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Solution

The third proportional to 273,950 and 401,448 is: 588,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,950 : 401,448 = 401,448 : x
  2. Step 2: Convert to fraction form
    273,950/401,448 = 401,448/x
  3. Step 3: Cross multiply
    273,950x = 401,448 × 401,448
  4. Step 4: Simplify right side
    273,950x = 161,160,496,704
  5. Step 5: Solve for x
    x = 161,160,496,704/273,950
  6. Step 6: Final answer
    x = 588,284.35

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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.