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Finding the Third Proportional to 269,689.50 and 404,048.25

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Solution

The third proportional to 269,689.50 and 404,048.25 is: 605,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,689.50 : 404,048.25 = 404,048.25 : x
  2. Step 2: Convert to fraction form
    269,689.50/404,048.25 = 404,048.25/x
  3. Step 3: Cross multiply
    269,689.50x = 404,048.25 × 404,048.25
  4. Step 4: Simplify right side
    269,689.50x = 163,254,988,328.06
  5. Step 5: Solve for x
    x = 163,254,988,328.06/269,689.50
  6. Step 6: Final answer
    x = 605,344.25

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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.