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Finding the Third Proportional to 269,430 and 449,029.50

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Solution

The third proportional to 269,430 and 449,029.50 is: 748,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,430 : 449,029.50 = 449,029.50 : x
  2. Step 2: Convert to fraction form
    269,430/449,029.50 = 449,029.50/x
  3. Step 3: Cross multiply
    269,430x = 449,029.50 × 449,029.50
  4. Step 4: Simplify right side
    269,430x = 201,627,491,870.25
  5. Step 5: Solve for x
    x = 201,627,491,870.25/269,430
  6. Step 6: Final answer
    x = 748,348.33

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.