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Finding the Third Proportional to 269,299.50 and 409,545

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Solution

The third proportional to 269,299.50 and 409,545 is: 622,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,299.50 : 409,545 = 409,545 : x
  2. Step 2: Convert to fraction form
    269,299.50/409,545 = 409,545/x
  3. Step 3: Cross multiply
    269,299.50x = 409,545 × 409,545
  4. Step 4: Simplify right side
    269,299.50x = 167,727,107,025
  5. Step 5: Solve for x
    x = 167,727,107,025/269,299.50
  6. Step 6: Final answer
    x = 622,827.40

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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.