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Finding the Third Proportional to 273,762 and 401,184

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Solution

The third proportional to 273,762 and 401,184 is: 587,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,762 : 401,184 = 401,184 : x
  2. Step 2: Convert to fraction form
    273,762/401,184 = 401,184/x
  3. Step 3: Cross multiply
    273,762x = 401,184 × 401,184
  4. Step 4: Simplify right side
    273,762x = 160,948,601,856
  5. Step 5: Solve for x
    x = 160,948,601,856/273,762
  6. Step 6: Final answer
    x = 587,914.33

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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.