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Finding the Third Proportional to 269,374.50 and 401,724

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Solution

The third proportional to 269,374.50 and 401,724 is: 599,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,374.50 : 401,724 = 401,724 : x
  2. Step 2: Convert to fraction form
    269,374.50/401,724 = 401,724/x
  3. Step 3: Cross multiply
    269,374.50x = 401,724 × 401,724
  4. Step 4: Simplify right side
    269,374.50x = 161,382,172,176
  5. Step 5: Solve for x
    x = 161,382,172,176/269,374.50
  6. Step 6: Final answer
    x = 599,099.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.