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Finding the Third Proportional to 269,324 and 409,829

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Solution

The third proportional to 269,324 and 409,829 is: 623,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,324 : 409,829 = 409,829 : x
  2. Step 2: Convert to fraction form
    269,324/409,829 = 409,829/x
  3. Step 3: Cross multiply
    269,324x = 409,829 × 409,829
  4. Step 4: Simplify right side
    269,324x = 167,959,809,241
  5. Step 5: Solve for x
    x = 167,959,809,241/269,324
  6. Step 6: Final answer
    x = 623,634.76

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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.