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Finding the Third Proportional to 269,048 and 404,211

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Solution

The third proportional to 269,048 and 404,211 is: 607,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,048 : 404,211 = 404,211 : x
  2. Step 2: Convert to fraction form
    269,048/404,211 = 404,211/x
  3. Step 3: Cross multiply
    269,048x = 404,211 × 404,211
  4. Step 4: Simplify right side
    269,048x = 163,386,532,521
  5. Step 5: Solve for x
    x = 163,386,532,521/269,048
  6. Step 6: Final answer
    x = 607,276.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.