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Finding the Third Proportional to 269,322 and 409,826

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Solution

The third proportional to 269,322 and 409,826 is: 623,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,322 : 409,826 = 409,826 : x
  2. Step 2: Convert to fraction form
    269,322/409,826 = 409,826/x
  3. Step 3: Cross multiply
    269,322x = 409,826 × 409,826
  4. Step 4: Simplify right side
    269,322x = 167,957,350,276
  5. Step 5: Solve for x
    x = 167,957,350,276/269,322
  6. Step 6: Final answer
    x = 623,630.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.