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Finding the Third Proportional to 270,432 and 401,184

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Solution

The third proportional to 270,432 and 401,184 is: 595,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,432 : 401,184 = 401,184 : x
  2. Step 2: Convert to fraction form
    270,432/401,184 = 401,184/x
  3. Step 3: Cross multiply
    270,432x = 401,184 × 401,184
  4. Step 4: Simplify right side
    270,432x = 160,948,601,856
  5. Step 5: Solve for x
    x = 160,948,601,856/270,432
  6. Step 6: Final answer
    x = 595,153.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.