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Finding the Third Proportional to 273,738 and 401,154

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Solution

The third proportional to 273,738 and 401,154 is: 587,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,738 : 401,154 = 401,154 : x
  2. Step 2: Convert to fraction form
    273,738/401,154 = 401,154/x
  3. Step 3: Cross multiply
    273,738x = 401,154 × 401,154
  4. Step 4: Simplify right side
    273,738x = 160,924,531,716
  5. Step 5: Solve for x
    x = 160,924,531,716/273,738
  6. Step 6: Final answer
    x = 587,877.94

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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.