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Finding the Third Proportional to 269,336 and 409,596

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Solution

The third proportional to 269,336 and 409,596 is: 622,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,336 : 409,596 = 409,596 : x
  2. Step 2: Convert to fraction form
    269,336/409,596 = 409,596/x
  3. Step 3: Cross multiply
    269,336x = 409,596 × 409,596
  4. Step 4: Simplify right side
    269,336x = 167,768,883,216
  5. Step 5: Solve for x
    x = 167,768,883,216/269,336
  6. Step 6: Final answer
    x = 622,898.10

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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.